Results 211 to 220 of about 8,797 (225)
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Zero-divisor placement, a condition of Camillo, and the McCoy property

Journal of Pure and Applied Algebra, 2020
Let \(R\) be a (not necessarily commutative) ring and form \(R[x]\) the ring of polynomials over \(R\), where \(x\) commutes with the elements of \(R\). The ring \(R\) is a McCoy ring whenever for every \(f\), \(g\in R[x]\) with \(g\ne 0\) but \(fg=0\), then \(fr=0\) for some \(0\ne r\in R\).
Baeck, Jongwook   +3 more
openaire   +2 more sources

The McCoy condition on skew monoid rings

Asian-European Journal of Mathematics, 2017
Let [Formula: see text] be an associative ring with identity, [Formula: see text] a monoid and [Formula: see text] a monoid homomorphism. When [Formula: see text] is a u.p.-monoid and [Formula: see text] is a reversible [Formula: see text]-compatible ring, then we observe that [Formula: see text] satisfies a McCoy-type property, in the context of skew
Paykan, Kamal, Moussavi, Ahmad
openaire   +2 more sources

The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions

Communications in Mathematics and Statistics, 2019
Let \(B\) be an associative ring with unity. \(B\) is called a (linearly) right McCoy ring, if the equality \(f(x)g(x) = 0\), where \(f(x), g(x)\) are (linear) polynomials in \(B\left[x\right] \setminus \left\{0\right\}\), implies that there exists a nonzero element \(c \in B\), such that \(f(x)c = 0\). Left McCoy rings are defined similarly.
Armando Reyes, Camilo Rodríguez
openaire   +1 more source

On McCoy modules

Bulletin of the Korean Mathematical Society, 2011
Jianlong Chen
exaly  

McCoy modules and related modules over commutative rings

Communications in Algebra, 2017
D D Anderson
exaly  

ON A GENERALIZATION OF MCCOY RINGS

Journal of the Korean Mathematical Society, 2013
VÍCTOR Camillo   +2 more
exaly  

McCoy Rings Relative to a Monoid

Communications in Algebra, 2010
E Hashemi
exaly  

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