Results 221 to 230 of about 327,963 (245)

Commutativity of rings with constraints on commutators

Results in Mathematics, 1985
Let 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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On the Commutativity of Rings with Constraints on Commutators.

International Journal of Mathematics and Computer Science
We investigate the commutativity of rings with identity satisfying identities involving commutators and their powers in the class of M!-torsion-free rings. We obtain sufficient conditions for commutativity from identities of the forms [x,y^m]=0, [x^n,y^m]=0, and [x^n,y]=[x,y^m], as well as from conditions on mappings preserving commutators.
Utsanee Leerawat, Chitlada Somsup
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Finite Commutative Rings and Their Applications

2002
Finite 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

1979
INTRODUCTION 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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Commutative rings whose ideals form an MV‐algebra

Mathematical Logic Quarterly, 2009
Antonio di Nola
exaly  

On 2-absorbing commutative semigroups and their applications to rings

Semigroup Forum, 2012
E R Puczyłowski
exaly  

Commutative rings III

2010
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Analysis of nonlinear time-delay systems using modules over non-commutative rings

Automatica, 2002
Xiaohua Xia, Claude H Moog, Petr Zagalak   +2 more
exaly  

Additive cyclic codes over finite commutative chain rings

Discrete Mathematics, 2018
Kamil Otal, Ferruh Ozbudak, Edgar Martínez-Moro   +2 more
exaly  

On a Condition for Commutativity of Rings

Journal of the London Mathematical Society, 1971
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