Action of multiplicative (generalized)-derivations and related maps on square closed Lie ideals in prime rings Article Swipe
Let $\mathcal{R}$ be a prime ring and $L$ a nonzero square closed Lie ideal of $\mathcal{R}$. Suppose $F,G,H\colon \mathcal{R}\to \mathcal{R}$\break are three multiplicative (generalized)-derivations associated with the maps $\delta,g, h\colon \mathcal{R}\to \mathcal{R}$ respectively which are not necessarily additive or derivations. Assume that $E,T\colon \mathcal{R}\to \mathcal{R}$ be any two maps (not necessarily additive). Let $d\colon \mathcal{R}\to \mathcal{R}$ be a nonzero derivation of $\mathcal{R}$. In the present article, following identities are studied (1) $d(x)F(y)+G(y)d(x)\pm (E(x)y+yT(u))=0,\quad$ $(2)\ H(xy)+G(y)F(x)\pm (E(y)x+xT(y))=0$, (3) $T(xy)+G(x)y\pm (yx+xy)=0, \quad$ $(4)\ F(x)F(y)+T(x)y\pm yx=0,$ (5) $d(x)d(y)+T(x)y+F(yx)=0$, for all $x,y\in L$.
Related Topics
Concepts
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.30970/ms.63.1.3-13
- http://matstud.org.ua/ojs/index.php/matstud/article/download/544/278
- OA Status
- diamond
- Cited By
- 1
- References
- 17
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4408866924
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4408866924Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.30970/ms.63.1.3-13Digital Object Identifier
- Title
-
Action of multiplicative (generalized)-derivations and related maps on square closed Lie ideals in prime ringsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2025Year of publication
- Publication date
-
2025-03-26Full publication date if available
- Authors
-
Basudeb DharaList of authors in order
- Landing page
-
https://doi.org/10.30970/ms.63.1.3-13Publisher landing page
- PDF URL
-
https://matstud.org.ua/ojs/index.php/matstud/article/download/544/278Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://matstud.org.ua/ojs/index.php/matstud/article/download/544/278Direct OA link when available
- Concepts
-
Mathematics, Prime (order theory), Multiplicative function, Square (algebra), Pure mathematics, Action (physics), Prime ring, Algebra over a field, Associated prime, Combinatorics, Mathematical analysis, Geometry, Physics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1Per-year citation counts (last 5 years)
- References (count)
-
17Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4408866924 |
|---|---|
| doi | https://doi.org/10.30970/ms.63.1.3-13 |
| ids.doi | https://doi.org/10.30970/ms.63.1.3-13 |
| ids.openalex | https://openalex.org/W4408866924 |
| fwci | 12.89673916 |
| type | article |
| title | Action of multiplicative (generalized)-derivations and related maps on square closed Lie ideals in prime rings |
| biblio.issue | 1 |
| biblio.volume | 63 |
| biblio.last_page | 13 |
| biblio.first_page | 3 |
| topics[0].id | https://openalex.org/T11673 |
| topics[0].field.id | https://openalex.org/fields/26 |
| topics[0].field.display_name | Mathematics |
| topics[0].score | 1.0 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2602 |
| topics[0].subfield.display_name | Algebra and Number Theory |
| topics[0].display_name | Advanced Topics in Algebra |
| topics[1].id | https://openalex.org/T10287 |
| topics[1].field.id | https://openalex.org/fields/26 |
| topics[1].field.display_name | Mathematics |
| topics[1].score | 0.9952999949455261 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2608 |
| topics[1].subfield.display_name | Geometry and Topology |
| topics[1].display_name | Algebraic structures and combinatorial models |
| topics[2].id | https://openalex.org/T10849 |
| topics[2].field.id | https://openalex.org/fields/26 |
| topics[2].field.display_name | Mathematics |
| topics[2].score | 0.9746000170707703 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2607 |
| topics[2].subfield.display_name | Discrete Mathematics and Combinatorics |
| topics[2].display_name | Finite Group Theory Research |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C33923547 |
| concepts[0].level | 0 |
| concepts[0].score | 0.7602913975715637 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[0].display_name | Mathematics |
| concepts[1].id | https://openalex.org/C184992742 |
| concepts[1].level | 2 |
| concepts[1].score | 0.727852463722229 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q7243229 |
| concepts[1].display_name | Prime (order theory) |
| concepts[2].id | https://openalex.org/C42747912 |
| concepts[2].level | 2 |
| concepts[2].score | 0.6715410351753235 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q1048447 |
| concepts[2].display_name | Multiplicative function |
| concepts[3].id | https://openalex.org/C135692309 |
| concepts[3].level | 2 |
| concepts[3].score | 0.6221257448196411 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q111124 |
| concepts[3].display_name | Square (algebra) |
| concepts[4].id | https://openalex.org/C202444582 |
| concepts[4].level | 1 |
| concepts[4].score | 0.5916185975074768 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q837863 |
| concepts[4].display_name | Pure mathematics |
| concepts[5].id | https://openalex.org/C2780791683 |
| concepts[5].level | 2 |
| concepts[5].score | 0.543502688407898 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q846785 |
| concepts[5].display_name | Action (physics) |
| concepts[6].id | https://openalex.org/C2777043060 |
| concepts[6].level | 3 |
| concepts[6].score | 0.4428287446498871 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q386597 |
| concepts[6].display_name | Prime ring |
| concepts[7].id | https://openalex.org/C136119220 |
| concepts[7].level | 2 |
| concepts[7].score | 0.42516303062438965 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q1000660 |
| concepts[7].display_name | Algebra over a field |
| concepts[8].id | https://openalex.org/C107836120 |
| concepts[8].level | 3 |
| concepts[8].score | 0.41828057169914246 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q4809264 |
| concepts[8].display_name | Associated prime |
| concepts[9].id | https://openalex.org/C114614502 |
| concepts[9].level | 1 |
| concepts[9].score | 0.19145652651786804 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q76592 |
| concepts[9].display_name | Combinatorics |
| concepts[10].id | https://openalex.org/C134306372 |
| concepts[10].level | 1 |
| concepts[10].score | 0.14152777194976807 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q7754 |
| concepts[10].display_name | Mathematical analysis |
| concepts[11].id | https://openalex.org/C2524010 |
| concepts[11].level | 1 |
| concepts[11].score | 0.1032169759273529 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q8087 |
| concepts[11].display_name | Geometry |
| concepts[12].id | https://openalex.org/C121332964 |
| concepts[12].level | 0 |
| concepts[12].score | 0.09791088104248047 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[12].display_name | Physics |
| concepts[13].id | https://openalex.org/C62520636 |
| concepts[13].level | 1 |
| concepts[13].score | 0.0 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[13].display_name | Quantum mechanics |
| keywords[0].id | https://openalex.org/keywords/mathematics |
| keywords[0].score | 0.7602913975715637 |
| keywords[0].display_name | Mathematics |
| keywords[1].id | https://openalex.org/keywords/prime |
| keywords[1].score | 0.727852463722229 |
| keywords[1].display_name | Prime (order theory) |
| keywords[2].id | https://openalex.org/keywords/multiplicative-function |
| keywords[2].score | 0.6715410351753235 |
| keywords[2].display_name | Multiplicative function |
| keywords[3].id | https://openalex.org/keywords/square |
| keywords[3].score | 0.6221257448196411 |
| keywords[3].display_name | Square (algebra) |
| keywords[4].id | https://openalex.org/keywords/pure-mathematics |
| keywords[4].score | 0.5916185975074768 |
| keywords[4].display_name | Pure mathematics |
| keywords[5].id | https://openalex.org/keywords/action |
| keywords[5].score | 0.543502688407898 |
| keywords[5].display_name | Action (physics) |
| keywords[6].id | https://openalex.org/keywords/prime-ring |
| keywords[6].score | 0.4428287446498871 |
| keywords[6].display_name | Prime ring |
| keywords[7].id | https://openalex.org/keywords/algebra-over-a-field |
| keywords[7].score | 0.42516303062438965 |
| keywords[7].display_name | Algebra over a field |
| keywords[8].id | https://openalex.org/keywords/associated-prime |
| keywords[8].score | 0.41828057169914246 |
| keywords[8].display_name | Associated prime |
| keywords[9].id | https://openalex.org/keywords/combinatorics |
| keywords[9].score | 0.19145652651786804 |
| keywords[9].display_name | Combinatorics |
| keywords[10].id | https://openalex.org/keywords/mathematical-analysis |
| keywords[10].score | 0.14152777194976807 |
| keywords[10].display_name | Mathematical analysis |
| keywords[11].id | https://openalex.org/keywords/geometry |
| keywords[11].score | 0.1032169759273529 |
| keywords[11].display_name | Geometry |
| keywords[12].id | https://openalex.org/keywords/physics |
| keywords[12].score | 0.09791088104248047 |
| keywords[12].display_name | Physics |
| language | en |
| locations[0].id | doi:10.30970/ms.63.1.3-13 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4210188983 |
| locations[0].source.issn | 1027-4634, 2411-0620 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | 1027-4634 |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | True |
| locations[0].source.display_name | Matematychni Studii |
| locations[0].source.host_organization | |
| locations[0].source.host_organization_name | |
| locations[0].license | cc-by-nc-nd |
| locations[0].pdf_url | http://matstud.org.ua/ojs/index.php/matstud/article/download/544/278 |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by-nc-nd |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Matematychni Studii |
| locations[0].landing_page_url | https://doi.org/10.30970/ms.63.1.3-13 |
| locations[1].id | pmh:oai:doaj.org/article:a37a4a89b5ec4f48ac0c343567a13683 |
| locations[1].is_oa | False |
| locations[1].source.id | https://openalex.org/S4306401280 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | False |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | DOAJ (DOAJ: Directory of Open Access Journals) |
| locations[1].source.host_organization | |
| locations[1].source.host_organization_name | |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | submittedVersion |
| locations[1].raw_type | article |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | False |
| locations[1].raw_source_name | Математичні Студії, Vol 63, Iss 1, Pp 3-13 (2025) |
| locations[1].landing_page_url | https://doaj.org/article/a37a4a89b5ec4f48ac0c343567a13683 |
| indexed_in | crossref, doaj |
| authorships[0].author.id | https://openalex.org/A5027652623 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-8345-1362 |
| authorships[0].author.display_name | Basudeb Dhara |
| authorships[0].countries | IN |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I41549804 |
| authorships[0].affiliations[0].raw_affiliation_string | Department of Mathematics and Natural Science Research Centre Belda College under Vidyasagar University Belda, West Bengal-721424, India |
| authorships[0].institutions[0].id | https://openalex.org/I41549804 |
| authorships[0].institutions[0].ror | https://ror.org/027jsza11 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I41549804 |
| authorships[0].institutions[0].country_code | IN |
| authorships[0].institutions[0].display_name | Vidyasagar University |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | B. Dhara |
| authorships[0].is_corresponding | True |
| authorships[0].raw_affiliation_strings | Department of Mathematics and Natural Science Research Centre Belda College under Vidyasagar University Belda, West Bengal-721424, India |
| has_content.pdf | True |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | http://matstud.org.ua/ojs/index.php/matstud/article/download/544/278 |
| open_access.oa_status | diamond |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Action of multiplicative (generalized)-derivations and related maps on square closed Lie ideals in prime rings |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T11673 |
| primary_topic.field.id | https://openalex.org/fields/26 |
| primary_topic.field.display_name | Mathematics |
| primary_topic.score | 1.0 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2602 |
| primary_topic.subfield.display_name | Algebra and Number Theory |
| primary_topic.display_name | Advanced Topics in Algebra |
| related_works | https://openalex.org/W2992465729, https://openalex.org/W2228958620, https://openalex.org/W2565963705, https://openalex.org/W4301425706, https://openalex.org/W836726206, https://openalex.org/W2349496047, https://openalex.org/W4236509354, https://openalex.org/W2372048418, https://openalex.org/W2608546407, https://openalex.org/W3191267508 |
| cited_by_count | 1 |
| counts_by_year[0].year | 2025 |
| counts_by_year[0].cited_by_count | 1 |
| locations_count | 2 |
| best_oa_location.id | doi:10.30970/ms.63.1.3-13 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4210188983 |
| best_oa_location.source.issn | 1027-4634, 2411-0620 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | 1027-4634 |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | True |
| best_oa_location.source.display_name | Matematychni Studii |
| best_oa_location.source.host_organization | |
| best_oa_location.source.host_organization_name | |
| best_oa_location.license | cc-by-nc-nd |
| best_oa_location.pdf_url | http://matstud.org.ua/ojs/index.php/matstud/article/download/544/278 |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by-nc-nd |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Matematychni Studii |
| best_oa_location.landing_page_url | https://doi.org/10.30970/ms.63.1.3-13 |
| primary_location.id | doi:10.30970/ms.63.1.3-13 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4210188983 |
| primary_location.source.issn | 1027-4634, 2411-0620 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | 1027-4634 |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | True |
| primary_location.source.display_name | Matematychni Studii |
| primary_location.source.host_organization | |
| primary_location.source.host_organization_name | |
| primary_location.license | cc-by-nc-nd |
| primary_location.pdf_url | http://matstud.org.ua/ojs/index.php/matstud/article/download/544/278 |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by-nc-nd |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Matematychni Studii |
| primary_location.landing_page_url | https://doi.org/10.30970/ms.63.1.3-13 |
| publication_date | 2025-03-26 |
| publication_year | 2025 |
| referenced_works | https://openalex.org/W2027499872, https://openalex.org/W2312470876, https://openalex.org/W2333408518, https://openalex.org/W3140744894, https://openalex.org/W1995476729, https://openalex.org/W2079091651, https://openalex.org/W3088478216, https://openalex.org/W2342710884, https://openalex.org/W2790523032, https://openalex.org/W2793157253, https://openalex.org/W2052748091, https://openalex.org/W23600420, https://openalex.org/W4379517220, https://openalex.org/W4225393516, https://openalex.org/W2010857076, https://openalex.org/W2306606285, https://openalex.org/W1077613800 |
| referenced_works_count | 17 |
| abstract_inverted_index.a | 3, 8, 57 |
| abstract_inverted_index.In | 62 |
| abstract_inverted_index.be | 2, 45, 56 |
| abstract_inverted_index.of | 14, 60 |
| abstract_inverted_index.or | 38 |
| abstract_inverted_index.$L$ | 7 |
| abstract_inverted_index.(1) | 70 |
| abstract_inverted_index.(3) | 76 |
| abstract_inverted_index.(5) | 83 |
| abstract_inverted_index.L$. | 88 |
| abstract_inverted_index.Let | 0, 52 |
| abstract_inverted_index.Lie | 12 |
| abstract_inverted_index.all | 86 |
| abstract_inverted_index.and | 6 |
| abstract_inverted_index.any | 46 |
| abstract_inverted_index.are | 20, 34, 68 |
| abstract_inverted_index.for | 85 |
| abstract_inverted_index.not | 35 |
| abstract_inverted_index.the | 26, 63 |
| abstract_inverted_index.two | 47 |
| abstract_inverted_index.(not | 49 |
| abstract_inverted_index.maps | 27, 48 |
| abstract_inverted_index.ring | 5 |
| abstract_inverted_index.that | 41 |
| abstract_inverted_index.with | 25 |
| abstract_inverted_index.$(2)\ | 73 |
| abstract_inverted_index.$(4)\ | 80 |
| abstract_inverted_index.ideal | 13 |
| abstract_inverted_index.prime | 4 |
| abstract_inverted_index.three | 21 |
| abstract_inverted_index.which | 33 |
| abstract_inverted_index.Assume | 40 |
| abstract_inverted_index.\quad$ | 79 |
| abstract_inverted_index.closed | 11 |
| abstract_inverted_index.square | 10 |
| abstract_inverted_index.yx=0,$ | 82 |
| abstract_inverted_index.$x,y\in | 87 |
| abstract_inverted_index.Suppose | 16 |
| abstract_inverted_index.h\colon | 29 |
| abstract_inverted_index.nonzero | 9, 58 |
| abstract_inverted_index.present | 64 |
| abstract_inverted_index.studied | 69 |
| abstract_inverted_index.$d\colon | 53 |
| abstract_inverted_index.additive | 37 |
| abstract_inverted_index.article, | 65 |
| abstract_inverted_index.following | 66 |
| abstract_inverted_index.$E,T\colon | 42 |
| abstract_inverted_index.$\delta,g, | 28 |
| abstract_inverted_index.(yx+xy)=0, | 78 |
| abstract_inverted_index.additive). | 51 |
| abstract_inverted_index.associated | 24 |
| abstract_inverted_index.derivation | 59 |
| abstract_inverted_index.identities | 67 |
| abstract_inverted_index.necessarily | 36, 50 |
| abstract_inverted_index.$F,G,H\colon | 17 |
| abstract_inverted_index.\mathcal{R}$ | 31, 44, 55 |
| abstract_inverted_index.derivations. | 39 |
| abstract_inverted_index.respectively | 32 |
| abstract_inverted_index.$\mathcal{R}$ | 1 |
| abstract_inverted_index.$\mathcal{R}$. | 15, 61 |
| abstract_inverted_index.\mathcal{R}\to | 18, 30, 43, 54 |
| abstract_inverted_index.multiplicative | 22 |
| abstract_inverted_index.$T(xy)+G(x)y\pm | 77 |
| abstract_inverted_index.(E(y)x+xT(y))=0$, | 75 |
| abstract_inverted_index.F(x)F(y)+T(x)y\pm | 81 |
| abstract_inverted_index.H(xy)+G(y)F(x)\pm | 74 |
| abstract_inverted_index.\mathcal{R}$\break | 19 |
| abstract_inverted_index.$d(x)F(y)+G(y)d(x)\pm | 71 |
| abstract_inverted_index.(E(x)y+yT(u))=0,\quad$ | 72 |
| abstract_inverted_index.$d(x)d(y)+T(x)y+F(yx)=0$, | 84 |
| abstract_inverted_index.(generalized)-derivations | 23 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 91 |
| corresponding_author_ids | https://openalex.org/A5027652623 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 1 |
| corresponding_institution_ids | https://openalex.org/I41549804 |
| citation_normalized_percentile.value | 0.94207895 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |