Results 1 to 10 of about 3,703 (248)
Von Neumann Regular McCoy Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2021 A ring R is said to be right McCoy, if for every f(x),g(x) in the polynomial ring R[x], with f(x)g(x)=0 there exists a nonzero element cϵR with f(x)c=0. In this note, we show that von Neumann regular McCoy rings are abelian. This gives a positive
Masoome Zahiri
doaj +3 more sources
Journal of Applied Mathematics, 2013 As a generalization of α-skew McCoy rings, we introduce the concept of α-skew π-McCoy rings, and we study the relationships with another two new generalizations, α-skew π1-McCoy rings and α-skew π2-McCoy rings, observing the relations with α-skew McCoy ...
Areej M. Abduldaim, Sheng Chen
doaj +4 more sources
ON A GENERALIZATION OF MCCOY RINGS [PDF]
Journal of the Korean Mathematical Society, 2013 Rege-Chhawchharia, and Nielsen introduced the concept of right McCoy ring, based on the McCoy's theorem in 1942 for the anni- hilators in polynomial rings over commutative rings. In the present note we concentrate on a natural generalization of a right McCoy ring that is called a right nilpotent coefficient McCoyring (simply, a right NC-McCoy ring ...
VÍCTOR Camillo +2 more
exaly +2 more sources
Semi-Armendariz and Semi-McCoy rings
پژوهشهای ریاضی, 2021 We introduce the notion of Semi-Armendariz (resp. Semi-McCoy) rings, which are a subclass of J-Armendariz (resp. J-McCoy rings) and investigate their properties. A ring R is called Semi-Armendariz (Semi-McCoy) if is Armendariz (McCoy).
shervin sahebi
doaj +2 more sources
On modules related to McCoy modules
Open Mathematics, 2022 In this paper, we first investigate the relationships between the McCoy module and related modules based on their relationships in rings. After that, we improve some properties of McCoy modules and introduce ZPZC modules which extend the notion of McCoy ...
Baeck Jongwook
doaj +2 more sources
Extensions of linearly McCoy rings [PDF]
Bulletin of the Korean Mathematical Society, 2013 A ring R is called linearly McCoy if whenever linear poly- nomials f(x), g(x) 2 R(x)\{0} satisfy f(x)g(x) = 0, there exist nonzero elements r, s 2 R such that f(x)r = sg(x) = 0. In this paper, extension properties of linearly McCoy rings are investigated. We prove that the polynomial ring over a linearly McCoy ring need not be linearly McCoy.
Jianlong Chen
exaly +2 more sources
Skew Generalized Power Series Rings and the McCoy Property
Taiwanese Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masoome Zahiri, Abdollah Alhevaz
exaly +4 more sources
On skew power series over McCoy rings [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a ring with an endomorphism $\alpha$. A ring $R$ is a skew power series McCoy ring if whenever any non-zero power series $f(x)=\sum_{i=0}^{\infty}a_ix^i,g(x)=\sum_{j=0}^{\infty}b_jx^j\in R[[x;\alpha]]$ satisfy $f(x)g(x)=0$, then there ...
Masoome Zahiri, Saeide Zahiri
doaj +1 more source
Differential rings and ore extensions: Brown-McCoy rings [PDF]
Boletim da Sociedade Brasileira de Matemática, 1986 A ring K is BMCR (Brown-McCoy ring) if the prime radical is the same as the Brown-McCoy radical in every homomorphic image of K. It is known (Watters) that K(x) is BMCR\(\leftrightarrow K\) is BMCR. If D is a derivation of K then we say K is D-BMCR if the D-prime radical is the same as the D-Brown-McCoy radical in every homomorphic image of K.
Márki, L, Mlitz, R, Wiegandt, R
+9 more sources
Zero-divisor graphs of twisted partial skew generalized power series rings [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring RG,≤;Θ and the corresponding structure of its zero-divisor graph Γ̅RG,≤;Θ. Design/methodology/approach
Mohammed H. Fahmy +2 more
doaj +1 more source