Results 31 to 40 of about 31,979 (265)
Moore-Penrose invertibility in involutory rings: the case aa+=bb+ [PDF]
, 2010 In this article, we consider Moore-Penrose invertibility in rings with a general involution. Given two von Neumann regular elements a, b in a general ring with an arbitrary involution, we aim to give necessary and sufficient conditions to aa† = bb†. As a
C. Mendes Araújo +2 more
core +1 more source
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
doaj +1 more source
On von Neumann regular rings - II.
MATHEMATICA SCANDINAVICA, 1976 As in other papers of this long series [for Part X see Collect. Math. 34, 81-94 (1983; Zbl 0544.16006), Part XIII see Ann. Univ. Ferrara, Nuova Ser., Sez. VII 31, 49-61 (1985; Zbl 0588.16006)], the author considers generalizations of concepts such as regularity and injectivity.
openaire +16 more sources
Cyclically presented modules, projective covers and factorizations
, 2013 We investigate projective covers of cyclically presented modules, characterizing the rings over which every cyclically presented module has a projective cover as the rings $R$ that are Von Neumann regular modulo their Jacobson radical $J(R)$ and in which
Facchini, Alberto +2 more
core +1 more source
Gorenstein Von Neumann regular rings
, 2009 In this paper, we study the rings with zero Gorenstein weak dimensions, which we call them Gorenstein Von Neumann regular rings.
Mahdou, Najib +2 more
openaire +2 more sources
Polynomial Rings Over a Commutative von Neumann Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1975 It is shown that the annihilator of each finitely generated ideal of R [ { X λ } λ ∈ Λ ] R[{\{ {X_\lambda }\} _{\lambda \in \Lambda ...
openaire +1 more source
Vertex rings and their Pierce bundles
, 2017 In part I we introduce vertex rings, which bear the same relation to vertex algebras (or VOAs) as commutative, associative rings do to commutative, associative algebras over the complex numbers.
Mason, Geoffrey
core +1 more source
Rings Over Which Cyclics are Direct Sums of Projective and CS or Noetherian [PDF]
, 2009 R is called a right WV -ring if each simple right R-module is injective relative to proper cyclics. If R is a right WV -ring, then R is right uniform or a right V -ring.
A. Leroy +4 more
core +4 more sources
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
doaj +1 more source
Ext and von Neumann regular rings [PDF]
Czechoslovak Mathematical Journal, 1985 A ring R is called a left T-ring if \(Ext_ R(M,N)\neq 0\) for each non- projective module M and each non-injective module N. In the paper, the following results are proved: 1) Let R be a von Neumann regular ring. If R is a T-ring, then each left ideal of R is countably generated. 2) Let R be a simple countable regular ring.
openaire +2 more sources