Results 11 to 20 of about 15,015 (267)
Centrally Prime Rings which are Commutative [PDF]
Kirkuk Journal of Science, 2006 In this paper the definition of centrally prime rings is introduced , our main purpose is to classify those centrally prime rings which are commutative and so that several conditions are given each of which makes a centrally prime ring commutative.
Adil K.Jabbar
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Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings
Walailak Journal of Science and Technology, 2018 The purpose of this paper is to introduce the notion of prime and left prime ideals in Γ-LA-rings. Some characterizations of prime, left prime, and weakly left ideals are obtained.
Pairote YIARAYONG
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On generalized homoderivations of prime rings
Математичні Студії, 2023 Let $\mathscr{A}$ be a ring with its center $\mathscr{Z}(\mathscr{A}).$ An additive mapping $\xi\colon \mathscr{A}\to \mathscr{A}$ is called a homoderivation on $\mathscr{A}$ if $\forall\ a,b\in \mathscr{A}\colon\quad \xi(ab)=\xi(a)\xi(b)+\xi(a)b+a\xi(
N. Rehman +2 more
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International Journal of Mathematics and Mathematical Sciences, 2000 For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.
Howard E. Bell
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Some Basic Properties of Completely Prime Ideals in Near Rings
Journal of Mathematical and Fundamental Sciences, 2015 In this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings.
Pairote Yiarayong
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Prime ideal graphs of commutative rings
Indonesian Journal of Combinatorics, 2022 Let R be a finite commutative ring with identity and P be a prime ideal of R. The vertex set is R - {0} and two distinct vertices are adjacent if their product in P. This graph is called the prime ideal graph of R and denoted by ΓP.
Haval Mohammed Salih, Asaad A. Jund
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On Zero-Symmetric Left Centrally Prime Near-Rings [PDF]
Kirkuk Journal of Science, 2007 Our aim in this paper is: to give some properties of zero-symmetric left centrally prime near-rings, then looking for those conditions which make zero-symmetric left centrally prime near-rings abelian, so that several conditions are given under which ...
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Two New Types of Rings Constructed from Quasiprime Ideals
International Journal of Mathematics and Mathematical Sciences, 2011 Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring.
Manal Ghanem, Hassan Al-Ezeh
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Involution on prime rings with endomorphisms
AIMS Mathematics, 2020 Let $\mathcal{R}$ be a prime ring with involution $'*'$ and $\psi: \mathcal{R} \rightarrow \mathcal{R}$ be an endomorphism on $\mathcal{R}$. In this article, we study the action of involution $'*',$ and the effect of endomorphism $\psi$ satisfying $[\psi(
Abdul Nadim Khan, Shakir Ali
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About unital and non-unital duo rings [PDF]
Proceedings of the Estonian Academy of SciencesSeveral results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
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