Results 11 to 20 of about 3,083 (173)
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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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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Centralizing n‐Homoderivations of Semiprime Rings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 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. El-Sayiad, A. Ageeb, A. Ghareeb
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Centrally Extended α‐Homoderivations on Prime and Semiprime Rings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We present a new type of mappings called centrally extended α‐homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies H(x + y) − H(x) − H(y) ∈ Z(ℜ) and H(xy) − H(x)H(y) − H(x)α(y) − α(x)H(y) ∈ Z(ℜ) for any x, y ∈ ℜ) where α is a mapping ...
Mahmoud M. El-Soufi, A. Ghareeb
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Semiprime Novikov algebras [PDF]
International Journal of Algebra and Computation, 2022 We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative semiprime algebra is semiprime algebra. We proved this statement for Novikov algebras. It implies that a Baer radical exists in a class of Novikov algebras.
A. Panasenko
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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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S-Semiprime Submodules and S-Reduced Modules
Journal of Mathematics, 2020 This article introduces the concept of S-semiprime submodules which are a generalization of semiprime submodules and S-prime submodules. Let M be a nonzero unital R-module, where R is a commutative ring with a nonzero identity.
Ayten Pekin +2 more
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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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The wreath product of semiprime skew braces is semiprime [PDF]
Communications in Algebra, 2020 In this note, we show that the wreath product of two semiprime skew braces is also a semiprime skew brace.
Patrick I. Kinnear
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Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups
Journal of Function Spaces, 2022 The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision-making problems.
Shahida Bashir +3 more
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