Results 11 to 20 of about 14,201 (197)
Canadian Mathematical Bulletin, 1979 All rings R considered here are commutative with identity and all the modules are unital right modules. As defined by Mehdi [6] a module MR is said to be a multiplication module if for every pair of submodules K and N of M, K ⊂ N implies K=NA for some ideal A of R. This concept generalizes the well known concept of a multiplication ring.
Singh, Surjeet, Mehdi, Fazal
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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 the prime submodules of multiplication modules [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 By considering the notion of multiplication modules over a commutative ring with identity, first we introduce the notion product of two submodules of such modules. Then we use this notion to characterize the prime submodules of a multiplication module.
Reza Ameri
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On Fully Closed Stable Modules
Walailak Journal of Science and Technology, 2021 In this paper, we studied the notion of the fully closed stable module and identified some basic properties of this notion. We also investigated some concepts which are related to this module.
Shukur AL-AEASHI, Bijan DAVVAZ
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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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Criteria for a direct sum of modules to be a multiplication module over noncommutative rings [PDF]
, 2021 We study multiplication modules. The rings are not assumed to be commutative. Several criteria with some applications are given for a direct sum of modules to be a multiplication ...
Bavula, V.V., Alsuraiheed, T.
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On Finitely Annihilated Modules [PDF]
Kirkuk Journal of Science, 2008 Let R be a commutative ring with identity and M be a unitary R-module. An R-module M is called finitely annihilated if there exists a finitely generated R-submodule N of M such that ann(M)=ann(N).Our main purpose in this work is to study this property in
Ali S. Mijbass +2 more
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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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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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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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