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PROCEEDINGS BOOK of MICOPAM 2023 The 6thMediterranean International Conference of Pure & Applied Mathematics and Related Areas Open
International audience
On Prime Ideals Related to an Ideal in a Commutative Ring Open
This article focuses on the notion of prime ideal related to an ideal of a commutative ring. Some of its characteristics are studied and the relations between ideals and prime ideals related to these ideals in a commutative ring are examin…
Corrigendum to ”On submodules of modules over group rings” Open
The aim of this corrigendum is to arrange the acknowledgement section of our published article: ?On Submodules of Modules over Group Rings? [Filomat 34:2 (2020), 575-582]. Acknowledgement This article is dedicated to Professor Gradimir V. …
PROCEEDINGS BOOK of the 2th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2019) Open
International audience
On submodules of modules over group rings Open
In this paper, we find some connections between submodules of a module over a group ring RG and subgroups of a group G. Also, we prove that there is a direct connection between conjugate elements of G and RG-submodules of M. Finally, we sh…
On radical formula in modules over noncommutative rings Open
This paper examines the radical formula in noncommutative case and for this purpose, a generalization of prime submodule is defined. It is proved that there is a direct connection between onesided prime ideals and one-sided prime submodule…
Multiplication modules with prime spectrum Open
The subject of this paper is the Zariski topology on a multiplication module $M$ over a commutative ring $R$. We find a characterization for the radical submodule $rad_{M}(0)$ and also show that there are proper ideals $I_{1},...,I_{n}$ of…
Dual Zariski Topology on Comultiplication Modules Open
This paper deals with dual Zariski topology on comultiplication modules. We define a subspace topology of dual Zariski topology on comultiplication modules and study some properties of this subspace topology. We prove that XsN is an Artini…
Zariski Subspace Topologies On Ideals Open
In this paper, we show how there are tight relationships between algebraic properties of a commutative ring $R$ and topological properties of open subsets of Zariski topology on the prime spectrum of $R$. We investigate some algebraic cond…
On modules over groups Open
For a finite group G, by the endomorphism ring of a module M over a commutative ring R, we define a structure for M to make it an RG-module so that we study the relations between the properties of R-modules and RG-modules. Mainly, we prove…