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Commutativity of Rings with Constraints on Commutators, II [PDF]
We establish commutativity of rings satisfying certain conditions of the form [x, y] = [x, y]p(x, y), where p(X, Y) is a polynomial in two non-commuting indeterminates, depending on x and y. We also give several applications.
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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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On the Commutativity of Rings [PDF]
Christine W Ayoub, Raymond Ayoub
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Zero Divisors in Commutative Rings
The American Mathematical Monthly, 1986(1986). Zero Devisors in Commutative Rings. The American Mathematical Monthly: Vol. 93, No. 5, pp. 382-387.
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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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Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras
Forum Mathematicum, 2021Michał Ziembowski, Leon Van Wyk
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Algebraic techniques for least squares problems in commutative quaternionic theory
Mathematical Methods in the Applied Sciences, 2020Dong Zhang, Tongsong Jiang, Zhenwei Guo
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Cubic Commutative Ideals of $BCK$-algebras
Missouri Journal of Mathematical Sciences, 2018Tapan Senapati
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Commutative ideals of BCK-algebras and BCI-algebras based on soju structures
AIMS Mathematics, 2021exaly
‐Bootstrap Approach to Non‐Commutative Gauge Theories
Fortschritte Der Physik, 2019Vladislav G Kupriyanov
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