Results 31 to 40 of about 5,838,381 (260)
Stable range conditions for abelian and duo rings
Математичні Студії, 2022 The article deals with the following question: when does the classical ring of quotients of a duo ring exist and idempotents in the classical ring of quotients $Q_{Cl} (R)$ are there idempotents in $R$?
A. A. Dmytruk +2 more
doaj +1 more source
Tikrit Journal of Pure Science, 2020 Let R be a commutative ring, the Pseudo – Von Neumann regular graph of the ring R is define as a graph whose vertex set consists of all elements of R and any two distinct vertices a and b are adjacent if and only if , this graph is denoted by P-VG(R ...
Nermen J. Khalel, Nabeel E. Arif
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Graded von Neumann regularity of rings graded by semigroups [PDF]
, 2022 In this article, we give a complete characterization of semigroup graded rings which are graded von Neumann regular. We also demonstrate our results by applying them to several classes of examples, including matrix rings and groupoid graded rings.Comment:
Lännström, Daniel +3 more
core +1 more source
A characterization of graded von Neumann regular rings with applications to Leavitt path algebras
, 2021 We prove a new characterization of graded von Neumann regular rings involving the recently introduced class of nearly epsilon-strongly graded rings. As our main application, we generalize Hazrat's result that Leavitt path algebras over fields are graded ...
Lännström, Daniel +2 more
core +1 more source
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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Trivial Ring Extension of Suitable-Like Conditions and some properties [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 We investigate the transfer of the notion of suitable rings along with related concepts, such as potent and semipotent rings, in the general context of the trivial ring extension, then we put these results in use to enrich the literature with new ...
Khalid Adarbeh
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, 2012 As a generalization of regular rings, we introduce the notion, of m-regular rings, that is for all , there is a fixed positive integer m such that is a Von-Neumann regular element. Some characterization and basic properties of these rings will be given.
Zubayda Ibraheem, Maha Khalaf
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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 n-flat modules and n-Von Neumann regular rings
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
doaj +1 more source
K1 of Von Neumann regular rings
Journal of Pure and Applied Algebra, 1984 For certain rings and \(C^*\)-algebras R, the group \(K_ 1(R)\) is shown to equal the abelianization of the unit group U(R). For instance, this is proved for every \(C^*\)-algebra with unitary 1-stable range, for every \(AW^*\)-algebra, and for every unit-regular ring in which 2 is invertible.
Menal, Pere, Moncasi, Jaume
openaire +2 more sources