Results 11 to 20 of about 3,091 (150)
On the construction of quasi-Frobenius rings [PDF]
Journal of Algebra, 1973 AbstractA quasi-Frobenius ring (QF ring) is a left Artinian ring R with identity for which the left R-module RR is injective. Since Nakayama [8] introduced the notion of a QF ring, quasi-Frobenius rings have been extensively studied. It is well known that for any QF ring R, both Rn, the ring of n × n matrices over R, and RG, group ring over R for any ...
Hannula, T.A
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Injective classical quotient rings of polynomial rings are quasi-Frobenius [PDF]
Journal of Pure and Applied Algebra, 1993 Let \(R\) be a ring and let \(X\) be a set of central indeterminates. The type of problem considered is the following: If the classical left quotient ring of \(R[X]\) exists and is left or right self-injective, does the left quotient ring of \(R\) exist and satisfy the corresponding property?
Herbera, Dolors, Pillay, Poobhalan
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MacWilliams extending conditions and quasi-Frobenius rings [PDF]
, 2022 © 2022 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted Manuscript version of a Published Work that appeared in final form in ...
Srivastava, Ashish K. +1 more
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Generalizations of the theory of quasi-frobenius rings [PDF]
In this thesis, we consider several generalizations of the theory of Quasi-Frobenius rings, and construct examples of the classes of rings we introduce. In Chapter 1 we establish well known results, although the way in which we use idempotents is apparently new.\ud \ud Chapter 2 is devoted to the study of three generalizations of Quasi-Frobenius rings,
Norton, Nicholas Charles
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Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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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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, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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On quasi-continuous rings [PDF]
, 1994 A well-known result of Utumi asserts that a two-sided continuous two-sided artinian ring is quasi-Frobenius. In this paper we extend Utumi’s result to quasi-continuous rings.
M. F. Yousif, W. K. Nicholson
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Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.ABSTRACT Simplicial–simplicial regression concerns statistical modeling scenarios in which both the predictors and the responses contain vectors constrained to lie on the simplex. Fiksel et al. introduced a transformation‐free linear regression framework for this setting, wherein the regression coefficients are estimated by minimizing the Kullback ...
Michail Tsagris, Omar Alzeley
wiley +1 more source