Results 21 to 30 of about 4,055 (200)
On Fully Semiprime Submodules and Fully Semiprime Modules
Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever Xï ...
I.M.A. Hadi, B.N. Shihab
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Nadiya Gubareni
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Centralizing Mappings of Semiprime Rings [PDF]
AbstractLet R be a ring with center Z, and S a nonempty subset of R. A mapping F from R to R is called centralizing on S if [x, F(x)] ∊ Z for all x ∊ S. We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism or derivation which is centralizing on some nontrivial one-sided ideal.
Howard E. Bell, Wallace S. Martindale
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On Commutativity of Prime and Semiprime - Rings with Reverse Derivations
Let M be a weak Nobusawa -ring and γ be a non-zero element of Γ. In this paper, we introduce concept of k-reverse derivation, Jordan k-reverse derivation, generalized k-reverse derivation, and Jordan generalized k-reverse derivation of Γ-ring, and γ ...
Shahed Ali Hamil, Abdulrahman H. Majeed
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In this paper we introduce the notion of semiprime fuzzy module as a generalization of semiprime module. We investigate several characterizations and properties of this concept.
M. A. Hamil
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On certain Γ-hyperideals in Γ-semihypergroups [PDF]
In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved thatthe class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity,
Ansari Safoora Samreen Jamal Abdul Nasir +1 more
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On Centrally Prime and Centrally Semiprime Rings [PDF]
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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Semiprime rings with generalized homoderivations
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 ...
A. Boua, Emine Koc Sogutcu
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Exploring Hybrid H-bi-Ideals in Hemirings: Characterizations and Applications in Decision Making
The concept of the hybrid structure, as an extension of both soft sets and fuzzy sets, has gained significant attention in various mathematical and decision-making domains.
Asmat Hadi +5 more
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On Rings Whose Simple Singular R-Modules Are Flat, I [PDF]
In this paper we investigate von Neumann regularity of rings whose simple singular right R-modules are flat. It is proved that a ring R is strongly regular if and only if R is a semiprime right quasi-duo ring whose simple singular right R-modules are ...
Raida Mahmood, Abdullah Abdul-Jabbar
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