Results 11 to 20 of about 10,538 (289)
On Uniformly S-Multiplication Modules and Rings
Mathematics, 2023 In this article, we introduce and study the notions of uniformly S-multiplication modules and rings that are generalizations of multiplication modules and rings. Some examples are given to distinguish the new conceptions with the old classical ones.
Wei Qi, Xiaolei Zhang
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Two versions of Nakayama lemma for multiplication modules [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 The aim of this note is to generalize the Nakayama lemma to a class of multiplication modules over commutative rings with identity. In this note, by considering the notion of multiplication modules and the product of submodules of them, we state and ...
Reza Ameri
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Quasi $z^\circ$-submodules of reduced multiplication modules [PDF]
Journal of Mahani Mathematical ResearchThe purpose of this paper is to define and investigate the notion of quasi $z^\circ$-submodules of modules over a commutative ring as an extension of $z^\circ$-ideals of commutative rings.
Faranak Farshadifar
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Ratio Mathematica, 2014 In this article, we study some properties of multiplication M Γ - modules and their prime M Γ -submodules. We verify the conditions of ACC and DCC on prime M Γ -submodules of multiplication M Γ - module.
A. A. Estaji +3 more
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On Primary Multipliction Modules
مجلة بغداد للعلوم, 2011 Let R be a commutative ring with identity and M be a unitary R- module. We shall say that M is a primary multiplication module if every primary submodule of M is a multiplication submodule of M. Some of the properties of this concept will be investigated.
Baghdad Science Journal
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On the distributivity of the lattice of radical submodules [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a commutative ring with identity and $\mathcal{R}(_{R}M)$ denotes the bounded lattice of radical submodules of an $R$-module $M$. We say that $M$ is a radical distributive module, if $\mathcal{R}(_{R}M)$ is a distributive lattice.
Hossein Fazaeli Moghimi +1 more
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Multiplicities of Semidualizing Modules [PDF]
Communications in Algebra, 2013 A finitely generated module C over a commutative noetherian ring R is semidualizing if Hom_R(C,C) \cong R and Ext^i_R(C,C) = 0 for all i \geq 1. For certain local Cohen-Macaulay rings (R,m), we verify the equality of Hilbert-Samuel multiplicities e_R(J;C) = e_R(J;R) for all semidualizing R-modules C and all m-primary ideals J.
Cooper, Susan M., Sather-Wagstaff, Sean
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Notes on reduced, artinian and multiplication modules [PDF]
Journal of Hyperstructures, 2014 Let M be a unitary module over a commutative ring R with identity. In this paper we consider the concepts of Artinian, semi-Artinian, reduced and multiplication modules . Also we call an R-module M radical, if it has no maximal submodule.
Jafar A’zami, Mahdieh Savaedi
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مجلة جامعة الانبار للعلوم الصرفة, 2012 This paper contains some results a bout fully bounded modules. Various conditions where given to ensure that bounded modules are fully bounded modules.
AMEEN SHAMAN AL-ANI
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On multiplication modules [PDF]
International Mathematical Forum, 2006 Summary: Let \(R\) be a non-zero commutative ring with non-zero identity. This paper is devoted to study some properties of multiplication modules. A number of results concerning multiplication modules are given.
Atani, S. Ebrahimi +1 more
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