Results 41 to 50 of about 350,769 (77)
TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]
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
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SOME EXAMPLES OF ARMENDARIZ RINGS [PDF]
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]
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
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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
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Skew Armendariz rings and their relations [PDF]
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
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On partial skew Armendariz rings
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.
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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
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RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT
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
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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
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