WebA module M is called quasi principally (or semi) injective, if it is M-principally injective. 1.1. Preliminaries. Throughout this paper, by a ring R we always mean an associative ring with identity and every R-module M is a unitary right R- module. WebIn Pure and Applied Mathematics, 1979. Definition. A ring R is quasi-Frobenius if it is left and right noetherian and R is an injective left R-module.. It can be shown that the asymmetry of the definition is only virtual: R must be injective as a right R-module [Jans, 1964, p. 78].It is …
arXiv:2302.03974v1 [math.RA] 8 Feb 2024
Web0521815932 - Quasi-Frobenius Rings W. K. Nicholson and M. F. Yousif Frontmatter More information. x Contents 4.2 Continuity 84 4.3 Quasi-FrobeniusRings 88 5 PrincipallyInjectiveandFPRings 95 5.1 PrincipallyInjectiveRings 96 5.2 KaschP … WebVon Neumann regular rings and primitive rings are semiprimitive, however quasi-Frobenius rings and local rings are usually not semiprimitive. semiring A semiring : An algebraic structure satisfying the same properties as a ring, except that addition need only be an abelian monoid operation, rather than an abelian group operation. hermes h deco creamer
arXiv:2302.03974v1 [math.RA] 8 Feb 2024
WebIt also offers a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. It reviews key recent developments in the theory of special ring … WebOct 22, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebA ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the subject is intimately related to duality, the duality from right to left modules induced by the hom … hermes h bangle