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Commutativity of rings with constraints on commutators
Results in Mathematics, 1985Let F denote a commutative ring, \(F\) the corresponding ring of polynomials in two non-commuting indeterminates, and F[X,Y] the ring of polynomials in two commuting indeterminates. A polynomial \(f(X,Y)\in F\) is called admissible if each of its monomials has length at least 3 and f(X,Y) has trivial image under the natural F-algebra map from \(F\) to ...
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Finite Commutative Rings and Their Applications
2002Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject.
Bini, G, FLAMINI, FLAMINIO
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Injective quotient rings of commutative rings
1979INTRODUCTION In the broadest sense, this is a study of commutative rings which satisfy the (finitely) pseudo-Froben[us (or (F)PF) condition: All (finitely generated) faithful modules generate the category mod-R of all R-modules. These rings include: Pr[[fer rings, almost maximal valuation rings, self-injective rings, e.g.
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On the eigenvalues of zero-divisor graph associated to finite commutative ring
AKCE International Journal of Graphs and Combinatorics, 2021Shariefuddin Pirzada
exaly
On the Genus of the Total Graph of a Commutative Ring
Communications in Algebra, 2013T Asir, T Tamizh Chelvam
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On the Total Graph and Its Complement of a Commutative Ring
Communications in Algebra, 2013T Asir, T Tamizh Chelvam
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The idempotent-divisor graphs of a commutative ring
Communications in Algebra, 2018John D Lagrange
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