Ideal intrinsic extensions with connections to PI-rings [PDF]
In this paper, we extend various classical results by Armendariz and Steinberg, Fisher, Kaplansky, Martindale, Posner, and Rowen on semiprime PI-rings. We do this by introducing several new generalizations of the class of semiprime PI-rings.
Park, Jae Keol +5 more
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A NOTE ON QUASI-ARMENDARIZ RINGS A NOTE ON QUASI-ARMENDARIZ RINGS A NOTE ON QUASI-ARMENDARIZ RINGS
A ring R is called a quasi-Armendariz ring if whenever elements α = a 0 +a 1 x+a 2 x 2 +· · ·+a n x n , β = b 0 +b 1 x+b 2 x 2 +· · ·+b m x m ∈ R[x] satisfy αR[x]β = 0, then a i Rb j = 0 for each i, j.
Zhang Wenhui, Liu Zhongkui
core
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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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]
Hernández Flores JL +14 more
europepmc +1 more source
In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Oyebola O.Y. +2 more
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Nonequilibrium Dynamics of a Magnetic Nanocapsule in a Nematic Liquid Crystal. [PDF]
Armendáriz J, Híjar H.
europepmc +1 more source
Validation of a Novel Fgf10 Cre-ERT2 Knock-in Mouse Line Targeting FGF10Pos Cells Postnatally. [PDF]
Chu X +8 more
europepmc +1 more source
GLI1+ cells are a source of repair-supportive mesenchymal cells (RSMCs) during airway epithelial regeneration. [PDF]
Chu X +24 more
europepmc +1 more source
Synergistic Interactions between Tocol and Phenolic Extracts from Different Tree Nut Species against Human Cancer Cell Lines. [PDF]
Stevens-Barrón JC +6 more
europepmc +1 more source
Armendariz ring with weakly semicommutativity
In this article, we introduce the weak ideal-Armendariz ring which combines Armendariz ring and weakly semicommutative properties of rings. In fact, it is a generalisation of an ideal-Armendariz ring. We investigate some properties of weak ideal Armendariz rings and prove that R is a weak ideal-Armendariz ring if and only if R[x] is weak ideal ...
Singh, Sushma, Prakash, Om
openaire +2 more sources

