Results 31 to 40 of about 5,685,512 (162)
Relative Regular Modules. Applications to von Neumann Regular Rings [PDF]
Applied Categorical Structures, 2009 6 ...
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Rosenbrock's theorem for systems over von Neumann regular rings [PDF]
, 2019 pp. 122-130If is a finite system over a commutative von Neumann regular ring R, the problem of searching for a matrix F such that the pencil has some prescribed Smith normal form is reduced to the case where R is a field, a problem which for ...
Hermida Alonso, José Ángel +3 more
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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Two New Types of Rings Constructed from Quasiprime Ideals
International Journal of Mathematics and Mathematical Sciences, 2011 Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring.
Manal Ghanem, Hassan Al-Ezeh
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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
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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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, 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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Some Properties of Von Neumann Regular Graphs of Rings
Journal of the Indonesian Mathematical Society, 2022 Let R be a ring with unity. Taloukolaei and Sahebi [2] introduced the Von Neumann regular graph GV nr+(R) of a ring, whose vertex set is R and two distinct vertices x and y are adjacent if and only if x + y is a Von Neumann regular element. In this article, we investigate some new properties of GV nr+(R) such as traversability, pancyclic, unicyclic ...
Diamond Kharkongor +3 more
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Some Relations between von Neumann Regular Elements and Quasi-Invertible Elements in Unital Rings
, 2020 In this paper, the definitions of centrally orthogonal elements, idempotent elements and von Neumann regular elements in unital rings are presented with related examples.
Myo Myo Hla
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K 1 of a Commutative von Neumann Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1972 Let A be a commutative regular ring (in the sense of von Neumann), and let q be an ideal in A . Then
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