Brahim Fahid
YOU?
Author Swipe
View article: Modeling of fluoride removal by nanofiltration: coupled film theory model with Nernst–Planck equation and artificial neural network
Modeling of fluoride removal by nanofiltration: coupled film theory model with Nernst–Planck equation and artificial neural network Open
View article: Jordan (Lie) σ-derivations on path algebras
Jordan (Lie) σ-derivations on path algebras Open
In this paper, we investigate Jordan ?-derivations and Lie ?-derivations on path algebras. This work is motivated by the one of Benkovic done on triangular algebras and the study of Jordan derivations and Lie derivations on path algebras d…
View article: The <i>i</i> -extended zero-divisor graphs of commutative rings
The <i>i</i> -extended zero-divisor graphs of commutative rings Open
The zero-divisor graphs of commutative rings have been used to build bridges between ring theory and graph theory. Namely, they have been used to characterize many ring properties in terms of graphic ones. However, many results are establi…
View article: Generalized Derivations and Generalization of Co-commuting Maps in Prime Rings
Generalized Derivations and Generalization of Co-commuting Maps in Prime Rings Open
Suppose that $R$ is a prime ring of characteristic different from $2$ with Utumi quotient ring $U$, $C = Z(U)$ the extended centroid of $R$, and $f(x_1,\\ldots,x_n)$ a noncentral multilinear polynomial over $C$. If $F$, $G$ and $H$ are thr…
View article: weakly $(m,n)$-closed ideals and $(m,n)$-von Neumann regular rings
weakly $(m,n)$-closed ideals and $(m,n)$-von Neumann regular rings Open
Let R be a commutative ring with identity. In this paper, we introduce the concept of (m, n)-closed ideals of R and (m, n)-von Neumann regular rings
View article: f-Biderivations and Jordan biderivations of unital algebras with idempotents
f-Biderivations and Jordan biderivations of unital algebras with idempotents Open
The notion of [Formula: see text]-derivations was introduced by Beidar and Fong to unify several kinds of linear maps including derivations, Lie derivations and Jordan derivations. In this paper, we introduce the notion of [Formula: see te…
View article: f-Biderivations and Jordan biderivations of unital algebras with\n idempotents
f-Biderivations and Jordan biderivations of unital algebras with\n idempotents Open
The notion of f-derivations was introduced by Beidar and Fong to unify\nseveral kinds of linear maps including derivations, Lie derivations and Jordan\nderivations. In this paper we introduce the notion of f-biderivations as a\nnatural "bi…
View article: On Generalized $(m, n)$-Jordan Derivations and Centralizers of Semiprime\n Rings
On Generalized $(m, n)$-Jordan Derivations and Centralizers of Semiprime\n Rings Open
In this paper we give an affirmative answer to two conjectures on generalized\n$(m,n)$-Jordan derivations and generalized $(m,n)$-Jordan centralizers raised\nin [S. Ali and A. Fo\\v{s}ner, \\textit{On Generalized $(m, n)$-Derivations and\n…
View article: Dhara-Rehman-Raza's identities on left ideals of prime rings
Dhara-Rehman-Raza's identities on left ideals of prime rings Open
It is known that every nonzero Jordan ideal of $2$-torsion free semiprime rings contains a nonzero ideal. In this paper we show that also any square closed Lie ideal of a $2$-torsion free prime ring contains a nonzero ideal. This can be in…
View article: On Generalized (m, n)-Jordan Derivations and Centralizers of Semiprime Rings
On Generalized (m, n)-Jordan Derivations and Centralizers of Semiprime Rings Open
In this paper we give an affirmative answer to two conjectures on generalized $(m,n)$-Jordan derivations and generalized $(m,n)$-Jordan centralizers raised in [S. Ali and A. Fošner, \textit{On Generalized $(m, n)$-Derivations and Generaliz…
View article: On $n$-trivial extensions of rings
On $n$-trivial extensions of rings Open
The notion of trivial extension of a ring by a module has been extensively studied and used in ring theory as well as in various other areas of research such as cohomology theory, representation theory, category theory and homological alge…
View article: Derivations and the First Cohomology Group of Trivial Extension Algebras
Derivations and the First Cohomology Group of Trivial Extension Algebras Open
View article: On n-Trivial Extensions of Rings
On n-Trivial Extensions of Rings Open
The notion of trivial extension of a ring by a module has been extensively studied and used in ring theory as well as in various other areas of research like cohomology theory, representation theory, category theory and homological algebra…