Results 11 to 20 of about 168 (124)
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 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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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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Journal of MathematicsIn this study, we investigate the behavior of semiprime ideals that satisfy certain algebraic identities using multiplicative (generalized) derivations. In addition, examples are provided to show that the limits imposed on the hypotheses of the different
Amal S. Alali +4 more
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On Additivity and Multiplicativity of Centrally Extended α,β-Higher Derivations in Rings
International Journal of Mathematics and Mathematical SciencesIn this paper, the concept of centrally extended α,β-higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals.
O. H. Ezzat
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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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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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New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points [PDF]
Matrix Science Mathematic, 2017 Subscribing to the Zadeh’s idea on fuzzy sets, many researchers strive to identify the key attributes of these sets for new finding in mathematics. In this perspective, new types of fuzzy interior ideals called (∈, ∈ ∨qk)-fuzzy interior ideals of ordered
Faiz Muhammad Khan +3 more
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On Interval-valued Anti Fuzzy Prime bi-ideal of Semigroup
Tikrit Journal of Pure Science, 2023 In this paper, we introduce the notions of interval-valued anti fuzzy prime (resp. strongly prime and semiprime) bi-ideals of semigroup. By using these ideas, we characterize those semigroup for which each interval anti-fuzzy bi-ideal is semiprime and ...
S. A. Wuhaib +2 more
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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
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