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Skew McCoy rings and σ-compatibility

Journal of Algebra and Its Applications, 2022
In this paper, we study [Formula: see text]-skew McCoy rings under the [Formula: see text]-compatible or the [Formula: see text]-semicompatible conditions. We show that if [Formula: see text] is a semicommutative right or left artinian ring which is [Formula: see text]-semicompatible with an epimorphism [Formula: see text], then the Jacobson radical ...
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A note on rings with McCoy-like properties

Communications in Algebra, 2016
ABSTRACTAccording to Nielsen [10], a ring R is called right McCoy if for every nonzero f(x),g(x) in the polynomial ring R[x], f(x)g(x) = 0 implies that there exists a nonzero s in R such that f(x)s = 0. In this work, we state two notes on rings with McCoy-like conditions.
M. Habibi, A. Moussavi, J. Šter
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McCoy Rings Relative to a Monoid

Communications in Algebra, 2010
For a monoid M, we introduce M-McCoy rings, which are a generalization of McCoy rings and M-Armendariz rings; and investigate their properties. We first show that all reversible rings are right M-McCoy, where M is a u.p.-monoid. We also show that all right duo rings are right M-McCoy, where M is a strictly totally ordered monoid.
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On Semiprime Right Goldie McCoy Rings

Communications in Algebra, 2013
In this note we first show that for a right (resp. left) Ore ring R and an automorphism σ of R, if R is σ-skew McCoy then the classical right (resp. left) quotient ring Q(R) of R is -skew McCoy. This gives a positive answer to the question posed in Baser et al. [1].
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Notes on Brown-McCoy-radicals for Γ-near-rings

Periodica Mathematica Hungarica, 1991
The Brown-McCoy radical \(\beta\) is defined to be the upper radical determined by the class of simple \(\Gamma\)-near-rings with strong left unity, while the simplicial radical \(S\) is defined to be the upper radical determined by the class of simple \(\Gamma\)-near-rings with left and right unities.
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The McCoy Condition on Ore Extensions

Communications in Algebra, 2013
A Moussavi, Abdollah Alhevaz
exaly  

On McCoy modules

Bulletin of the Korean Mathematical Society, 2011
Jianlong Chen
exaly  

MCCOY CONDITION ON IDEALS OF COEFFICIENTS

Bulletin of the Korean Mathematical Society, 2013
Chan Huh, Tai Keun Kwak, Yang Lee
exaly  

Skew polynomials and brown-mccoy rings

Communications in Algebra, 1982
K.R. Pearson   +2 more
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