Results 1 to 10 of about 576 (168)
On n-flat modules and n-Von Neumann regular rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
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GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES
Barekeng, 2023 An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is called vN (von-Neumann)-regular ring if every element is regular. Recall that for any ring R always can be considered as module over itself.
Hubbi Muhammad, Sri Wahyuni
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Relative Regular Modules. Applications to von Neumann Regular Rings [PDF]
Applied Categorical Structures, 2009 6 ...
Leonard Daus, Daus Leonard
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Some Properties of Strongly Principally Self-Injective Modules [PDF]
Journal of Applied Sciences and Nanotechnology, 2022 The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid +2 more
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On (m, n)-semiprime submodules [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m, n â N.
Ayten Pekin +2 more
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this article, we introduce the notion of strongly π-regular module which is a generalization of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠0 and X a multiplication A-module. X is called a strongly π-regular module
Suat Koç
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Journal of Mathematics, 2023 Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-module. Then M is called A-D3 if, whenever N and K are direct summands of M with M=N+K and M/K∈A, then N∩K is also a direct summand of M; M is called an A ...
Zhanmin Zhu
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A note on a generalization of injective modules
Karpatsʹkì Matematičnì Publìkacìï, 2020 As a proper generalization of injective modules in term of supplements, we say that a module $M$ has the property (ME) if, whenever $M\subseteq N$, $M$ has a supplement $K$ in $N$, where $K$ has a mutual supplement in $N$. In this study, we obtain that $(
B.N. Türkmen, E. Türkmen
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Injective and coherent endomorphism rings relative to some matrices
Open Mathematics, 2023 Let MM be a right RR-module with S=End(MR)S={\rm{End}}\left({M}_{R}). Given two cardinal numbers α\alpha and β\beta and a row-finite matrix A∈RFMβ×α(S)A\in {{\rm{RFM}}}_{\beta \times \alpha }\left(S), SM{}_{S}M is called injective relative to AA if ...
Zeng Yuedi
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On S-2-absorbing submodules and vn-regular modules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let R be a commutative ring and M an R-module. In this article, we introduce the concept of S-2-absorbing submodule. Suppose that S ⊆ R is a multiplicatively closed subset of R.
Ulucak Gülşen, Tekir Ünsal, Koç Suat
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