Results 121 to 130 of about 3,083 (173)
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Functional equations related to higher derivations in semiprime rings
Open Mathematics, 2021O H Ezzat
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On commuting additive mappings on semiprime rings
, 2020The 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, 2019The 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. Khan
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Commutators in semiprime gamma rings
Asian-European Journal of Mathematics, 2020We 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, 2022Let $S$ 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 +3 more
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Some results on ideals of semiprime rings with multiplicative generalized derivations
Communications in Algebra, 2018Emine Koç Sögütcü, Öznur Gölbaşi
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Additive n-commuting maps on semiprime rings
Proceedings of the Edinburgh Mathematical Society, 2019Let 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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Certain basic functional identities of semiprime rings
Communications in Algebra, 2019The goal of the article is to discuss certain basic functional identities of semiprime rings. Specifically, the following result is proved: Let R be a semiprime ring with extended centroid C and let be additive maps, where denotes the maximal left ring ...
Tsiu-Kwen Lee
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Israel Journal of Mathematics, 1975
LetG be a finite group of automorphisms acting on a ringR, andRG={fixed points ofG}. We show that under certain conditions onR andG, whenRGis semiprime Goldie then so isR. In particular, ifa∈R is invertible andan∈Z(R), thenRG,withG generated by the inner automorphism determined bya, is the centralizer ofa—CR(a).
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LetG be a finite group of automorphisms acting on a ringR, andRG={fixed points ofG}. We show that under certain conditions onR andG, whenRGis semiprime Goldie then so isR. In particular, ifa∈R is invertible andan∈Z(R), thenRG,withG generated by the inner automorphism determined bya, is the centralizer ofa—CR(a).
openaire +2 more sources

