Results 11 to 20 of about 475 (152)
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
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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
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On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals
Journal of Mathematics, 2023 Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities.
Hafedh M. Alnoghashi +2 more
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Radicals of Generalized Prime Ideals in Ternary Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon +2 more
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A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory
Complexity, 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.
Saqib Mazher Qurashi +4 more
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Semiprime ideals in $C^{*}$-algebras
Journal of the European Mathematical SocietyWe show that a not necessarily closed ideal in a C^{*} -algebra is semiprime if and only if it is idempotent, if and only if it is closed under square roots of positive elements. Among other things, it follows that prime and semiprime ideals in
Eusebio Gardella +2 more
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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
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Semiprime ideals in general lattices
Journal of Pure and Applied Algebra, 1989 An ideal of a lattice L is called semiprime if for every x,y,z\(\in L\), whenever \(x\wedge y\in I\) and \(x\wedge z\in I\), then \(x\wedge (y\vee z)\in I\). Semiprime filters are dually defined. Main Theorem. Let L be a lattice and I an ideal of L. The following conditions are equivalent: (1) I is semiprime. (2) I is the kernel of some homomorphism of
Rav, Yehuda
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On semiprime ideals in lattices [PDF]
Journal of Pure and Applied Algebra, 1990 AbstractThe basic aim of this note is to show that alleles can be a useful tool for investigations of semiprime ideals. By means of alleles we characterize semiprime ideals in general lattices. We also study when a sectionally complemented lattice is distributive.
Mokbel, Khalid A. +2 more
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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
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