Results 21 to 30 of about 31,979 (265)
The almost isomorphism relation for simple regular rings [PDF]
, 1992 A longstanding open problem in the theory of von Neumann regular rings is the question of whether every directly finite simple regular ring must be unit-regular. Recent work on this problem has been done by P. Menal, K.C . O'Meara, and the authors.
Ara, Pere,, Goodearl, K. R.
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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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The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring [PDF]
, 2007 Let R be a commutative ring and let Spec(R) denote the collection of prime ideals of R. We define a topology on Spec(R) by using ultrafilters and demonstrate that this topology is identical to the well known patch or constructible topology.
Fontana, Marco, Loper, K. Alan
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Relative Regular Modules. Applications to von Neumann Regular Rings [PDF]
Applied Categorical Structures, 2009 6 ...
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ON φ-VON NEUMANN REGULAR RINGS [PDF]
Journal of the Korean Mathematical Society, 2013 Let R be a commutative ring with and let = {R|R is a commutative ring and Nil(R) is a divided prime ideal}. If , then R is called a -ring. In this paper, we introduce the concepts of -torsion modules, -flat modules, and -von Neumann regular rings.
Wei Zhao, Fanggui Wang, Gaohua Tang
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Semiprime SF-rings whose essential left ideals are two-sided
International Journal of Mathematics and Mathematical Sciences, 1994 It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
Zhang Jule, Du Xhianneng
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The space of extended orthomorphisms in a Riesz space [PDF]
, 1984 We study the space Orth[infinity](L) of extended orthomorphisms in an Archimedean Riesz space L and its analogies with the complete ring of quotients of a commutative ring with unit element.
DePagter, B.
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From regular modules to von Neumann regular rings via coordinatization [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we establish a very close link (in terms of von Neu- mann's coordinatization) between regular modules introduced by Zel- manowitz, on one hand, and von Neumann regular rings, on the other hand: we prove that the lattice L^{fg}(M) of all ...
Leonard Daus, Mohamed A. Salim
doaj
K-Theoretically Simple Von Neumann Regular Rings
Journal of Algebra, 1995 The authors investigate the differences between simplicity of a von Neumann regular ring and simplicity of its ordered Grothendieck group \(K_0\). After giving preliminaries in \S 1, they derive properties of pseudo-rank functions on ideals in a regular ring. In \S 3 they prove that if \(R\) is a stably finite, \(K_0\)-simple, non-Artinian regular ring
Ara, P. +3 more
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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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