Results 1 to 10 of about 4,029 (172)
On Semiprime Goldie Modules [PDF]
arXiv, 2016 For an $R$-module $M$, projective in $\sigma[M]$ and satisfying ascending chain condition (ACC) on left annihilators, we introduce the concept of Goldie module. We also use the concept of semiprime module defined by Raggi et. al. in \cite{S} to give necessary and sufficient conditions for an $R$-module $M$, to be a semiprime Goldie module. This theorem
Jaime Castro Pérez +3 more
arxiv +5 more sources
Semiprime rings with generalized homoderivations
Boletim da Sociedade Paranaense de Matemática, 2022 This study develops some results involving generalized homoderivation in semiprime rings and investigates the commutativity of semiprime rings admitting generalized homoderivations of ring R satisfying certain identities and some related results have ...
Abdelkarim Boua, Emine Koç Sogutcu
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The Wreath Product of Semiprime Skew Braces is Semiprime [PDF]
Comm. Algebra, 49.2 (2021): 533-537, 2019 In this note, we show that the wreath product of two semiprime skew braces is also a semiprime skew brace.
Patrick I. Kinnear
arxiv +3 more sources
Graded semiprime multiplication modules
Boletim da Sociedade Paranaense de Matemática, 2020 Let $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded semiprime multiplication modules. A graded $R$-module $M$ is said to be graded semiprime multiplication if $M$ has no graded semiprime $R$-submodules or for every ...
Rashid Abu-Dawwas
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On Centrally Prime and Centrally Semiprime Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 In this paper, centrally prime and centrally semiprime rings are defined and the relations between these two rings and prime (resp. semiprime) rings are studied.Among the results of the paper some conditions are given under which prime (resp.
Adil Jabbar, Abdularahman Majeed
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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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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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A note on a pair of derivations of semiprime rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f, g be derivations of R such that f(x)x+xg(x)∈Z(R) for all x∈R, then f and g are ...
Muhammad Anwar Chaudhry, A. B. Thaheem
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Soft prime and semiprime int-ideals of a ring
AIMS Mathematics, 2020 In this paper, some properties of soft radical of a soft int-ideal have been developed and soft prime int-ideal, soft semiprime int-ideal of a ring are defined. Several characterizations of soft prime (soft semiprime) int-ideals are investigated. Also it
Jayanta Ghosh +2 more
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