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Skew McCoy rings and σ-compatibility
Journal of Algebra and Its Applications, 2022In 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, 2016ABSTRACTAccording 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, 2010For 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, 2013In 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, 1991The 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, 2013A Moussavi, Abdollah Alhevaz
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MCCOY CONDITION ON IDEALS OF COEFFICIENTS
Bulletin of the Korean Mathematical Society, 2013Chan Huh, Tai Keun Kwak, Yang Lee
exaly
Skew polynomials and brown-mccoy rings
Communications in Algebra, 1982K.R. Pearson +2 more
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