Results 21 to 30 of about 307,522 (161)

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

Quasi-armendariz property for skew polynomial rings [PDF]

, 2022
Bu çalışma üç bölümden oluşmaktadır. İlk bölüm giriş kısmıdır. İkinci bölümde, çalışma için gerekli olan temel kavramlar, bir halka üzerindeki polinom halkaları, matris halkaları ve bazı halka sınıfları verilmiştir.
Kazgan, Pınar
core   +1 more source

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

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

ON SKEW GENERALIZED TRIANGULAR MATRIX RINGS [PDF]

Journal of Algebraic Systems
In this article, we study skew monoid rings in which the monoid used in their structure is a quotient of a free monoid. We study annihilator conditions of them and describe conditions for transferring some properties from the base ring $R$ to these ...
Mohammad Habibi, Kamal Paykan
doaj   +1 more source

α-Skew π-McCoy Rings

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   +1 more source

A PROOF ON POWER-ARMENDARIZ RINGS

Korean Journal of Mathematics, 2013
Summary: Power-Armendariz is a unifying concept of Armendariz and commutative. Let \(R\) be a ring and \(I\) be a proper ideal of \(R\) such that \(R/I\) is a power-Armendariz ring. Han et al. proved that if \(I\) is a reduced ring without identity then \(R\) is power-Armendariz.
Kim, Dong Hwa, Ryu, Sung Ju, Seo, Yeonsook   +2 more
openaire   +2 more sources

Armendariz Semirings and Semicommutative Semirings [PDF]

, 2021
In this paper we study Armendariz semiring, which has been introduced by V.Gupta and P.kumar, in the paper entitled `Armendariz and qusi-Armendariz and PS-semirings' [8].
Sinha, Dharitri, Molla, Md Salim Masud
core   +2 more sources