Results 61 to 70 of about 307,522 (161)

On power Armendariz rings

Gulf Journal of Mathematics, 2015
The study of Armendariz rings was initiated by Rege and Chhawchharia, based on a result of Armendariz related to the structure of reduced rings. Recently, Armendariz rings were generalized to power Armendariz rings in [12, 18]. We investigate the transfer of the power Armendariz property to subring retracts, trivial ring extensions, finite direct ...
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RINGS OVER WHICH POLYNOMIAL RINGS ARE ARMENDARIZ AND REVERSIBLE

Korean Journal of Mathematics, 2012
Summary: A ring \(R\) is called \textit{reversibly Armendariz} if \(b_j a_i = 0\) for all \(i,j\) whenever \(f(x)g(x) = 0\) for two polynomials \(f(x) = \sum_{i=0}^m {a_i x_i}\), \(g(x) = \sum_{j=0}^n {b_j x_j}\) over \(R\). It is proved that a ring \(R\) is reversibly Armendariz if and only if its polynomial ring is reversibly Armendariz if and only ...
Ahn, Jung Ho, Choi, Min Jeong, Choi, Si Ra, Jeong, Won Seok, Kim, Jung Soo, Lee, Jeong Yeol, Lee, Soon Ji, Lee, Young Sun, Noh, Dong Hyun, Noh, Yu Seung, Park, Gyeong Hyeon, Lee, Chang Ik, Lee, Yang   +12 more
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On Abelian rings [PDF]

, 2020
Let α be an endomorphism of an arbitrary ring R with identity. In this note, we introduce the notion of α -abelian rings which generalizes abelian rings. We prove that α -reduced rings, α -symmetric rings, α -semicommutative rings and α -Armendariz rings
Abdullah Harmancı, Nazim Agayev, Sait Halıcıoglu   +2 more
core  

On partial skew Armendariz rings

, 2011
In this paper we consider rings R with a partial action α of an infinite cyclic group G on R. We introduce the concept of partial skew Armendariz rings and partial α-rigid rings. We show that partial α-rigid rings are partial skew Armendariz rings and
Cortes, W.
core   +1 more source

RIGIDNESS AND EXTENDED ARMENDARIZ PROPERTY

, 2011
For a ring endomorphism alpha of a ring R, Krempa called alpha a rigid endomorphism if a alpha(a) = 0 implies a = 0 for a is an element of R, and Hong et al. called R an alpha-rigid ring if there exists a rigid endomorphism alpha.
Kaynarca, Fatma, Muhittin Baser, Baser, Muhittin, Kwak, Tai Keun, Fatma Kaynarca, Tai-Keun Kwak   +5 more
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Volatile Organic Compounds Produced by Kosakonia cowanii Cp1 Isolated from the Seeds of Capsicum pubescens R & P Possess Antifungal Activity. [PDF]

Microorganisms, 2023
Hernández Flores JL, Martínez YJ, Ramos López MÁ, Saldaña Gutierrez C, Reyes AA, Armendariz Rosales MM, Cortés Pérez MJ, Mendoza MF, Ramírez Ramírez J, Zavala GR, Tovar Becerra PL, Valdez Santoyo L, Villasana Rodríguez K, Rodríguez Morales JA, Campos Guillén J.   +14 more
europepmc   +1 more source

Quasi-Armendariz rings relative to a monoid

Journal of Pure and Applied Algebra, 2007
Let \(M\) be a monoid. An associative ring \(R\) with an identity is called \(M\)-quasi-Armendariz if for any two elements \(a=a_1g_1+\cdots+a_ng_n\) and \(b=b_1h_1+\cdots+b_kh_k\), \(a_i,b_j\in R\), \(g_i,h_j\in M\), of the semigroup ring \(R[M]\) such that \(aR[M]b=0\) it follows that \(a_iRb_j=0\) for all \(i,j\).
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On Jacobson And Nil Radicals Related To Polynomial Rings

, 2016
This note is concerned with examining nilradicals and Jacobson radicals of polynomial rings when related factor rings are Armendariz. Especially we elaborate upon a well-known structural property of Armendariz rings, bringing into focus the Armendariz ...
ÖZCAN, AYŞE ÇİĞDEM, Kwak, Tai Keun, Lee, Yang, Ozcan, A. Cigdem   +3 more
core   +1 more source

Nonequilibrium Dynamics of a Magnetic Nanocapsule in a Nematic Liquid Crystal. [PDF]

Materials (Basel), 2021
Armendáriz J, Híjar H.
europepmc   +1 more source

Validation of a Novel Fgf10 ^Cre-ERT2 Knock-in Mouse Line Targeting FGF10^Pos Cells Postnatally. [PDF]

Front Cell Dev Biol, 2021
Chu X, Taghizadeh S, Vazquez-Armendariz AI, Herold S, Chong L, Chen C, Zhang JS, El Agha E, Bellusci S.   +8 more
europepmc   +1 more source