Results 31 to 40 of about 392,803 (276)
Morphic rings and unit regular rings
Journal of Pure and Applied Algebra, 2007 A ring \(R\) is called left morphic if \(R/Ra\simeq\mathbf l(a)\) for every \(a\in R\). A left and right morphic ring is called a morphic ring. If \(\mathbb{M}_n(R)\) is morphic for all \(n\geq 1\) then \(R\) is called a strongly morphic ring. A well-known result of Erlich says that a ring \(R\) is unit regular iff it is both (von Neumann) regular and ...
Lee, T. K., Zhou, Y.
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Proceedings of the American Mathematical Society, 1957 Let G be a multiplicative group, K a commutative ring with unit, and K(G) the group ring of G with respect to K. We say that K(G) is regular if given an x in K(G), there is a y in K(G) such that xyx = x. Using a homological characterization of regular rings which was found independently by M.
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On Rings Whose Principal Ideals are Generalized Pure Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 This paper , introduces the notion of a right PIGP-ring (a ring in which every principal ideal of R is a GP-ideal ) with some of their basic properties ; we also give necessary and sufficient conditions for PIGP-rings to be a division ring and a regular ...
Husam Mohammad
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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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Some New Results on Near Fields
Tikrit Journal of Pure Science, 2022 In this paper, we considered investigating some properties of near fields and new results are obtained. In particular, we investigated some conditions under which some near rings become near fields.
Ehab A. Hussein, Sinan O. Alsalihi
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Regular derivations of truncated polynomial rings
, 2014 Let $\Bbbk$ be an algebraically closed field of characteristic $p>2$. Let $\mathcal{O}_n=\Bbbk[X_1,\ldots,X_n]/(X_1^p,\ldots, X_n^p)$, a truncated polynomial ring in $n$ variables, and denote by $\mathcal{L}$ the derivation algebra of $\mathcal{O}_n$. It
Premet, Alexander
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Maximal Generalization of Pure Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The purpose of this paper is to study the class of the rings for which every maximal right ideal is left GP-ideal. Such rings are called MGP-rings and give some of their basic properties as well as the relation between MGP-rings, strongly regular ring ...
Raida Mahmood, Awreng Mahmood
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Regularity of Semigroup Rings [PDF]
Proceedings of the American Mathematical Society, 1970 The conditions unlder which a semnigroup ring is regu- lar (in the sense of von Neumann) are inlvestigated. SLufficient con- ditions are obtained in order that the semnigroup ring of an inverse semigroup be regular. Consequences of the regularity of the seni- group ring for the subgroups of the semigroup are established.
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Quasi-Regular Graphs Associated with Commutative Rings
Journal of Mathematics, 2022 One of the most important branches of mathematics is algebraic graph theory, which solves graph problems with algebraic methods. In graph theory, several algebraic properties of a ring can be represented.
Nasr Zeyada +2 more
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Pediatric Blood &Cancer, EarlyView.Abstract Background Sickle cell disease (SCD) is an autosomal recessive hemoglobinopathy affecting millions of individuals worldwide. The clinical expression and psychosocial burden of SCD vary widely across geographical, cultural, and healthcare system contexts, underscoring the need for setting‐specific approaches to assessment.
Desiré Fantasia +7 more
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