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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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Conjugates in prime rings [PDF]
Transactions of the American Mathematical Society, 1971 Let R be a prime ring with identity, center ZO GF(2), and a nonidentity idempotent. If R is not finite and if x E R-Z, then x has infinitely many distinct conjugates in R. If R has infinitely many Z-independent elements then x E R-Z has infinitely many Z-independent conjugates.
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, 2011 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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On primitive ideals in graded rings [PDF]
, 2008 Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A.
Smoktunowicz, Agata
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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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A theorem for prime rings [PDF]
Proceedings of the American Mathematical Society, 1979 Let n be a positive integer and let R be a prime ring either of characteristic zero or of characteristic
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Prime ideals in the quantum grassmanian [PDF]
, 2008 We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter ...
Lenagan, T.H. +2 more
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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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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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