Results 21 to 30 of about 17,177 (306)
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
doaj +1 more source
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
core +1 more source
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
openaire +2 more sources
, 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
core +1 more source
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
doaj +1 more source
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
core +1 more source
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
doaj +1 more source
Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]
, 2007 Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Rehman, Nadeem-ur +3 more
core +1 more source
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
doaj +1 more source
Primes in products of rings [PDF]
Pacific Journal of Mathematics, 1971 This paper is an elementary note which indicates how Harrison's primes sit in certain kinds of rings. It is proved that primes behave nicely under finite direct products. Also it is shown that any nil ideal is a subset of every prime. This gives information about the primes of artinian rings.
openaire +2 more sources