Results 41 to 50 of about 32,058 (259)
Self-injective von Neumann regular rings and Köthe's conjecture [PDF]
Journal of Pure and Applied Algebra, 2021 One of the many equivalent formulation of the K the's conjecture is the assertion that there exists no ring which contains two nil right ideals whose sum is not nil. We discuss several consequences of an observation that if the Koethe conjecture fails then there exists a counterexample in the form of a countable local subring of a suitable self ...
Kálnai, Peter, Žemlička, Jan
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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
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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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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.
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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
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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
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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 ...
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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
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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
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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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