On rings having McCoy-like conditions
In, Nielsen proves that all reversible rings are McCoy and gives an example of a
semicommutative ring that is not right McCoy. At the same time, he also shows that …
semicommutative ring that is not right McCoy. At the same time, he also shows that …
Answers to some questions concerning rings with Property (A)
E Hashemi, AA Estaji, M Ziembowski - Proceedings of the Edinburgh …, 2017 - cambridge.org
A ring R has right property (A) whenever a finitely generated two-sided ideal of R consisting
entirely of left zero-divisors has a non-zero right annihilator. As the main result of this paper …
entirely of left zero-divisors has a non-zero right annihilator. As the main result of this paper …
McCoy property of skew Laurent polynomials and power series rings
One of the important properties of commutative rings, proved by McCoy [Remarks on
divisors of zero, Amer. Math. Monthly 49 (5)(1942) 286–295], is that if two nonzero …
divisors of zero, Amer. Math. Monthly 49 (5)(1942) 286–295], is that if two nonzero …
McCoy property and nilpotent elements of skew generalized power series rings
K Paykan, A Moussavi - Journal of Algebra and Its Applications, 2017 - World Scientific
Let R be a ring,(S,≤) a strictly ordered monoid and ω: S→ End (R) a monoid
homomorphism. The skew generalized power series ring R [[S, ω]] is a common …
homomorphism. The skew generalized power series ring R [[S, ω]] is a common …
On left annihilating content polynomials and power series
H Aqania, E Hashemi, M Paykanian - Communications in Algebra, 2024 - Taylor & Francis
Let R be an associative unital ring, and let f∈ R [x]. We say that f is a left annihilating content
(AC) polynomial if f= af 1 for some a∈ R and f 1∈ R [x] with l R [x](f 1)= 0. The ring R is …
(AC) polynomial if f= af 1 for some a∈ R and f 1∈ R [x] with l R [x](f 1)= 0. The ring R is …
On the sum of annihilators in Monoid rings
E Hashemi, M Paykanian - Revista de la Real Academia de Ciencias …, 2024 - Springer
A given ring R, is called a left IN-ring if the right annihilator of the intersection of any two left
ideals is equal to the sum of their right annihilators. Also, R is said to be a right SA-ring if the …
ideals is equal to the sum of their right annihilators. Also, R is said to be a right SA-ring if the …
On zero divisor graph of unique product monoid rings over Noetherian reversible ring
Let $ R $ be an associative ring with identity and $ Z^*(R) $ be its set of non-zero zero
divisors. The zero-divisor graph of $ R $, denoted by $\Gamma (R) $, is the graph whose …
divisors. The zero-divisor graph of $ R $, denoted by $\Gamma (R) $, is the graph whose …
On right McCoy rings and right McCoy rings relative to up-monoids
R Mazurek, M Ziembowski - Communications in Contemporary …, 2015 - World Scientific
In this paper, we prove that all right duo rings are right McCoy relative to any up-monoid. We
also show that for any nontrivial up-monoid M, the class of right McCoy rings relative to M is …
also show that for any nontrivial up-monoid M, the class of right McCoy rings relative to M is …
On monoid rings over nil Armendariz ring
A Alhevaz, A Moussavi - Communications in Algebra, 2014 - Taylor & Francis
Given a ring R and a monoid M, we study the concept of so called nil-Armendariz ring
relative to a monoid, which is a common generalization of nil-Armendariz rings and …
relative to a monoid, which is a common generalization of nil-Armendariz rings and …
A note on zip rings
M Ziembowski - Acta Mathematica Hungarica, 2013 - Springer
A NOTE ON ZIP RINGS Page 1 Acta Math. Hungar., 141 (1–2) (2013), 127–131 DOI:
10.1007/s10474-013-0307-y First published online February 9, 2013 A NOTE ON ZIP RINGS M …
10.1007/s10474-013-0307-y First published online February 9, 2013 A NOTE ON ZIP RINGS M …