Results 41 to 50 of about 350,769 (77)

TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]

open access: yes, 2010
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core   +1 more source

SOME EXAMPLES OF ARMENDARIZ RINGS [PDF]

open access: yes, 2017
We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of monoid M. In particular, we give some examples of Armendariz rings related to a monoid.
Ali, Eltiyeb, Elshokry, Ayoub
core   +2 more sources

Note on strongly nil clean elements in rings [PDF]

open access: yes, 2019
summary:Let $R$ be an associative unital ring and let $a\in R$ be a strongly nil clean element. We introduce a new idea for examining the properties of these elements. This approach allows us to generalize some results on nil clean and strongly nil clean
Pucanović, Zoran S.   +4 more
core   +1 more source

NEUTROSOPHIC RINGS [PDF]

open access: yes, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy   +2 more
core   +1 more source

Skew Armendariz rings and their relations [PDF]

open access: yes, 2012
The theory of rings is of paramount importance in the realm of algebra, as it deals primarily with the structures required to develop other algebraic theories and their applications.
Pourtaherian, Hamideh
core   +1 more source

On partial skew Armendariz rings

open access: yes, 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

On Extended Armendariz Rings

open access: yes, 2014
This thesis consists of three basic chapters. The first chapter is devoted to the introduction. The second chapter introduces preliminaries, definitions and necessary theorems that will be required for later use.
Tokatçı, Serhat
core   +1 more source

RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT

open access: yes, 2011
Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, observing the structure of nilpotent elements in Armendariz rings and introducing the notion of nil-Armendariz rings ...
TAI KEUN KWAK, YANG LEE
core   +1 more source

REDUCED and ARMENDARIZ RINGS

open access: yes, 2009
This thesis consists of three chapters. In the first chapter, some basic defination and fundemental properties which will be used in the sequel are given.
Aslan, Hatice
core   +1 more source

EHA2024 Hybrid Congress

open access: yes
HemaSphere, Volume 8, Issue S1, June 2024.
wiley   +1 more source

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