Results 11 to 20 of about 1,379,054 (295)
Canadian Mathematical Bulletin, 1973 This paper attempts to generalize a property of regular rings, namely,I2=Ifor every right (left) ideal. Rings with this property are called right (left) weakly regular. A ring which is both left and right weakly regular is called weakly regular. Kovacs in [6] proved that, for commutative rings, weak regularity and regularity are equivalent conditions ...
V. S. Ramamurthi
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On Semiabelian π-Regular Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 A ring R is defined to be semiabelian if every idempotent of R is either right semicentral or left semicentral. It is proved that the set N(R) of nilpotent elements in a π-regular ring R is an ideal of R if and only if R/J(R) is abelian, where J(R) is ...
Weixing Chen
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Some Results on W-regular Rings [PDF]
NTU Journal of Pure SciencesVon Neumann regular rings, introduced in 1936, form a cornerstone of abstract algebra and were later extended to weakly regular rings. This work considers another extension, the W-regular rings defined by Wei [6], and explores their properties and ...
Hazim Tallat Hazim
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حول الحلقات المنتظمة من النمط-m [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 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 M. Ibraheem, Maha F. Khalaf
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الحلقات المنتظمة بضعف من النمط s [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The purpose of this paper is to study a new class of rings R in which, for each a Î R, aÎ aR aR, for some positive integer n. Such rings are called sp-weakly regular rings and give some of their basic properties as well as the relation between sp-weakly
Raida D. Mahmood +1 more
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Regular and generalized regular rings [PDF]
, 1974 During his study of continuous geometries, J. von Neumann found that any complemented modular lattice satisfying certain mild conditions arises from a specific type of ring, which he termed a regular ring. In the first place, these rings turn out to be a generalization of artinian semisimple rings, and subsequent studies have shown that the concepts of
Rafel, Kenneth Tamerlane Philip
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تعمیم للحلقات المنتظمة من النمط فون نیومان [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this paper, we introduce a new ring which is a generalization of Von Neumann regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular ...
Adil K. Jabbar
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Characterizations of rings and modules by means of lattices [PDF]
, 1965 PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
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VNR rings, $\Pi$-regular rings and annihilators [PDF]
, 1974 summary:Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered.
Yue Chi Ming, Roger +3 more
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Morphic elements in regular near-rings
, 2023 We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is prop?erly contained between the classes of left strongly regular and unit-regular near-rings.
Philly Kimuli (14349951)
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