Results 21 to 30 of about 300,701 (162)

The Armendariz graph of a ring

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper we initiate the study of Armendariz graph of a commutative ring R and investigate the basic properties of this graph such as diameter, girth, domination number, etc. The Armendariz graph of a ring R, denoted by A(R), is an undirected graph with nonzero zero-divisors of R[x] (i.e., Z(R[x])*) as the vertex set, and two distinct vertices f(x)
Abdioğlu Cihat, Çelikel Ece Yetkin, Das Angsuman   +2 more
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Armendariz rings

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rege, M. B., Chhawchharia, Sima
openaire   +3 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  

ON A RING PROPERTY GENERALIZING POWER-ARMENDARIZ AND CENTRAL ARMENDARIZ RINGS

Korean Journal of Mathematics, 2015
Summary: We in this note consider a class of rings which is related to both power-Armendariz and central Armendariz rings, in the spirit of Armendariz and Kaplansky. We introduce central power-Armendariz as a generalization of them, and study the structure of central products of coefficients of zero-dividing polynomials.
Cha, Ho Jun, Jung, Da Woon, Kim, Hong Kee, Kim, Jin-A., Lee, Chang Ik, Lee, Yang, Nam, Sang Bok, Ryu, Sung Ju, Seo, Yeonsook, Sung, Hyo Jin, Yun, Sang Jo   +10 more
openaire   +3 more sources

On a theorem of McCoy [PDF]

Mathematica Bohemica
We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings.
Rajendra Kumar Sharma, Amit B. Singh
doaj   +1 more source

Extension of Antoine’s Ring Construction

International Journal of Mathematics and Mathematical Sciences, 2019
This article concerns a kind of extension of Antoine’s ring construction which is unit-IFP and Armendariz. Such extensions are also shown to be unit-IFP and Armendariz, by which we may extend the classes of unit-IFP and Armendariz rings.
Tai Keun Kwak
doaj   +1 more source

On Armendariz rings

, 2013
Çalışmamızda Armendariz halkalar ve Armendariz halkalarla bağlantılı halkalar aralarındaki ilişkiler incelendi. Bu tez dört bölümden oluşmaktadır. İlk bölümde diğer bölümlerde kullanacağımız tanım ve teoremler verildi.
Uğuz, Teslime
core   +2 more sources

Nilpotent Elements in Skew Polynomial Rings [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj  

Properties of Armendariz rings and weak Armendariz rings

Publications de l'Institut Mathematique, 2009
We consider some properties of Armendariz and rigid rings. We prove that the direct product of rigid (weak rigid), weak Armendariz rings is a rigid (weak rigid), weak Armendariz ring. On the assumption that the factor ring R/I is weak Armendariz, where I is nilpotent ideal, we prove that R is a weak Armendariz ring.
openaire   +3 more sources

Skew Polynomial Extensions over Zip Rings

International Journal of Mathematics and Mathematical Sciences, 2008
In this article, we study the relationship between left (right) zip property of 𝑅 and skew polynomial extension over 𝑅, using the skew versions of Armendariz rings.
Wagner Cortes
doaj   +1 more source