Results 21 to 30 of about 3,327,591 (338)
Various spectra and energies of commuting graphs of finite rings
, 2020 The commuting graph of a non-commutative ring $R$ with center $Z(R)$ is a simple undirected graph whose vertex set is $R\setminus Z(R)$ and two vertices $x, y$ are adjacent if and only if $xy = yx$ . In this paper, we compute various spectra and energies
W. N. Fasfous, R. K. Nath, R. Sharafdini
semanticscholar +1 more source
, 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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Determinants of some special matrices over commutative finite chain rings
Special Matrices, 2020 Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
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, 2012 This paper is the continuation of the work started in [12]. The present paper is devoted to the study of ideals of neutrosophic rings.
Adeleke E.O +2 more
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, 2011 In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Oyebola O.Y. +2 more
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Linear Codes over Finite Rings
Trends in Computational and Applied Mathematics, 2005 In this paper we present a construction technique of cyclic, BCH, alternat, Goppa and Srivastava codes over a local finite commutative rings with identity.
A.A. de Andrade, R. Palazzo Jr.
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, 2020 The concept of formation appeared first in the 1960s in connection with finite solvable groups [1]. Further research showed that formations are of general algebraic nature and can be applied to the study of not necessarily solvable finite and infinite ...
A. Tsarev
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Quotient Rings of Noetherian Module Finite Rings [PDF]
Proceedings of the American Mathematical Society, 1994 Let R be a Noetherian ring which is a finite module over its centre C . We obtain a necessary and sufficient condition for R to have a full quotient ring. We also show that when such a quotient ring does exist, it
Chatters, AW, Hajarnavis, CR
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On the number of prime order subgroups of finite groups [PDF]
, 2009 Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart +3 more
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On commuting probability of finite rings [PDF]
, 2015 The commuting probability of a finite ring $R$, denoted by $\Pr(R)$, is the probability that any two randomly chosen elements of $R$ commute. In this paper, we obtain several bounds for $\Pr(R)$ through a generalization of $\Pr(R)$. Further, we define ${\
J. Dutta, D. Basnet, R. K. Nath
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