Results 11 to 20 of about 47,216 (313)
Strong prüfer rings and the ring of finite fractions
Journal of Pure and Applied Algebra, 1993 Let \(R\) be a commutative ring with identity, \(T(R)\) its total quotient ring, and \(Q(R)\) its complete ring of quotients. Denote by \(Q_ 0(R)\) the ring of finite fractions of \(R\), which is a subring of \(Q(R)\) containing \(T(R)\). The author defines a \(Q_ 0\)-Prüfer ring as a ring \(R\) for which every ring between \(R\) and \(Q_ 0(R)\) is ...
Lucas, Thomas G.
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On Representability of a Finite Local Ring
Journal of Algebra, 2000 It is known that any nilpotent ring is embeddable in a ring of matrices over a commutative ring and there is a finite ring which cannot be embedded in a ring of matrices over a commutative ring (the first example was constructed by G.~M.~Bergman). The author investigates the following unsolved question: Let \(R\) be a finite local ring with identity ...
Anan'in, A.Z.
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The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]
, 2016 Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter +2 more
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SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]
, 2009 Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
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LAPLACIAN SPECTRUM AND ENERGY OF NON-COMMUTING GRAPHS OF FINITE RINGS [PDF]
Journal of Algebraic SystemsWe compute spectrum, energy, Laplacian spectrum/ energy and signless Laplacian spectrum/energy of non-commuting graphs of certain finite non-commutative rings. In particular, we consider finite rings $R$ such that $|R| = p^2, p^3, p^4$, $p^5$, $p^2q$ and
Monalisha Sharma, Rajat Nath
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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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ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS [PDF]
Journal of Algebraic Systems, 2019 Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$
M. Rezagholibeigi, A. R. Naghipour
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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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Regular divisor graph of finite commutative ring
Tikrit Journal of Pure Science, 2023 Let R be a finite commutative ring with identity 1. We introduce a new graph called regular divisor graph and denoted by . We classify the finite commutative ring to get a special graph and we are going to study some properties of this graph, clique ...
Payman Abbas Rashid, Hataw Saleem Rashid
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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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