Results 11 to 20 of about 175 (133)
Centralizing n-Homoderivations of Semiprime Rings
Journal of Mathematics, 2022 We introduce the notion of n-homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n-homoderivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses,
M. S. Tammam El-Sayiad +2 more
doaj +2 more sources
A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings
Journal of MathematicsIn this paper, we introduce the concept of weakly semiprime ideals and weakly n-systems in noncommutative rings. We establish the equivalence between an ideal P being a weakly semiprime ideal and R−P being a weakly n-system.
Alaa Abouhalaka
doaj +2 more sources
Prime Ideal, Semiprime Ideal, and Radical of an Ideal of an L-Subring
Fuzzy Information and Engineering, 2023 In this paper, we develop a systematic theory for the ideals of an L-ring L(μ, R). We introduce the concepts of a prime ideal, a semiprime ideal, and the radical of an ideal in an L-ring. The notion of a maximal ideal has been introduced and discussed in
Anand Swaroop Prajapati +2 more
doaj +2 more sources
Left ideals and derivations in semiprime rings
Journal of Algebra, 2004 Let \(R\) be a prime or semiprime ring with center \(Z(R)\), let \(L\) be a nonzero left ideal, and let \(D\) and \(E\) be nonzero derivations on \(R\). For \(S\subseteq R\), denote by \((S)\) the ideal generated by \(S\). The author explores the following conditions, suggested by a classic paper of \textit{E. C. Posner} [Proc. Am. Math. Soc.
openaire +4 more sources
Algebraic ideals of semiprime Banach algebras [PDF]
Glasgow Mathematical Journal, 1991 AbstractIf A is a semiprime Banach algebra, soc A, rad A the socle and radical of A, then Soc A ∩ rad A = (0). This elementary result enables us to prove some results concerning algebraic ideal and algebraic elements modulo the socle of A. We also deduce several conditions for A equivalent to the condition dim A <+∞.
GIOTOPOULOS, S, ROUMELIOTIS, M
openaire +2 more sources
A Characterization of Semiprime Rings with Homoderivations
Journal of New Theory, 2023 This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
doaj +1 more source
A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory
Complexity, Volume 2023, Issue 1, 2023., 2023 In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale. These fuzzy soft substructures include fuzzy soft subquantales, fuzzy soft ideals, fuzzy soft prime ideals, fuzzy soft semiprime ideals, and fuzzy soft primary ideals.
Saqib Mazher Qurashi +5 more
wiley +1 more source
L-Fuzzy Semiprime Ideals of a Poset
Advances in Fuzzy Systems, 2020 In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained.
Berhanu Assaye Alaba +1 more
doaj +1 more source
Anti fuzzy ideal extension of semigroups [PDF]
Journal of Hyperstructures, 2012 In this paper the concepts of anti fuzzy l-prime ideals, anti fuzzy semiprime ideals and anti fuzzy ideal extensions in asemigroup have been introduced. They are found to satisfy characteristic function criterion and anti level subset criterion.
S. Kumar Majumder, P. Pal, S. K. Sardar
doaj +1 more source
Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj +1 more source