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J- Semiprime Submodules

International Journal of Science and Research (IJSR), 2017
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A GENERAL CHARACTERIZATION OF ADDITIVE MAPS ON SEMIPRIME RINGS

, 2016
Amin Hosseini
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Minimal Prime and Semiprime Submodules

Babylonian Journal of Mathematics, 2023
Prime and semiprime submodules are important generalizations of prime and semiprime ideals to module theory over commutative rings. However, minimal or smallest prime/semiprime submodules have received comparatively less attention.
R. M. Al-Masroub, Mahmood S. Fiadh
semanticscholar   +1 more source

On commuting additive mappings on semiprime rings

, 2020
The main purpose of this paper is to describe the structure of a pair of additive mappings that are commuting on a semiprime ring.
Siriporn Lapuangkham, U. Leerawat
semanticscholar   +1 more source

A new type of fuzzy semiprime subsets in ordered semigroups

Journal of Intelligent & Fuzzy Systems, 2019
The concept of an (∈ , ∈ ∨ (k*, q k ))-fuzzy semiprime subset in an ordered semigroup is introduced, and investigate the properties of (∈ , ∈ ∨ (k*, q k ))-fuzzy generalized bi-ideals by concerning the (∈ , ∈ ∨ (k*, q k ))-fuzzy semiprime subsets ...
G. Muhiuddin, A. Mahboob, N. M. Khan
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The structure of S-semiprime ideals and submodules in noncommutative rings

Communications in Algebra
This paper introduces the concept of right S-semiprime ideals and right S-semiprime submodules in the context of noncommutative rings. We investigate the properties of right S-semiprime ideals (submodules), providing multiple equivalent definitions and ...
Alaa Abouhalaka, Nico Groenewald
semanticscholar   +1 more source

Commutators in semiprime gamma rings

Asian-European Journal of Mathematics, 2020
We characterize connections between associative, Lie and Jordan structures of semiprime gamma rings.
Ahmad Al Khalaf, I. Taha, O. Artemovych
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Centralizers of Semiprime Inverse Semirings

Sarajevo Journal of Mathematics, 2022
Let $S$ be a $2$-torsion free semiprime inverse semiring such that all elements of the form $x+x'$ are in the center of $S$. We prove that any additive mapping $F\colon S\to S$ satisfying the condition $2F(xyx)+F(x)yx'+x'yF(x)=0$ is a centralizer.
Dog, Sonia, Florence, D. Mary, Murugesan, R., Namasivayam, P.   +3 more
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Semiprime ore extensions

Communications in Algebra, 2000
A Ting R with a derivation δ is called δ-semiprime if for any δ-ideal I of R (i.e., an ideal I such that δ(I)⊆ I)I 2 = 0 implies I = 0.R is called δ-quasi-Baer (resp. quasi-Baer) if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent of R.
Juncheol Han, Yasuyuki Hirano, Hongkee Kim   +2 more
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Additive n-commuting maps on semiprime rings

Proceedings of the Edinburgh Mathematical Society, 2019
Let R be a semiprime ring with the extended centroid C and Q the maximal right ring of quotients of R. Set [y, x]1 = [y, x] = yx − xy for x, y ∈ Q and inductively [y, x]k = [[y, x]k−1, x] for k > 1. Suppose that f : R → Q is an additive map satisfying [f(
Cheng–Kai Liu
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