Commutative rings - Open Access .click

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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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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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Zero-Divisor Graphs of Matrices Over Commutative Rings

Communications in Algebra, 2009
Ivana Bozic, Zoran Petrović
exaly

Commutative rings whose ideals form an MV‐algebra

Mathematical Logic Quarterly, 2009
Antonio Di Nola
exaly

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

Automatica, 2002
Xiaohua Xia, Petr Zagalak, C H Moog
exaly

Commutative rings III

2010
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On maximal commutative subrings of non-commutative rings

Communications in Algebra, 2018
O A S Karamzadeh
exaly

On 2-absorbing commutative semigroups and their applications to rings

Semigroup Forum, 2012
A Yousefian Darani, Puczyłowski E R
exaly