Results 21 to 30 of about 184 (133)
Commutativity results for semiprime rings with derivations
International Journal of Mathematics and Mathematical Sciences, 1998 We extend a result of Herstein concerning a derivation d on a prime ring R satisfying [d(x),d(y)]=0 for all x,y∈R, to the case of semiprime rings. An extension of this result is proved for a two-sided ideal but is shown to be not true for a one-sided ...
Mohammad Nagy Daif
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AN IDENTITY RELATED TO θ-CENTRALIZERS IN SEMIPRIME RINGS [PDF]
Journal of Algebraic Systems, 2023 Let $R$ be a $ 2$-torsion-free semiprime ring and $\theta$ be an epimorphism of $R$. In this paper, under special hypotheses, we prove that if $T: R\longrightarrow R$ is an additive mapping such that$$T(xyx)=θ(x)T(y)θ(x),$$holds for
Abbas Zivari-Kazempour
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Proceedings of the American Mathematical Society, 1973 The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the ...
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On Maps of Period 2 on Prime and Semiprime Rings
International Journal of Mathematics and Mathematical Sciences, 2014 A map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized ...
H. E. Bell, M. N. Daif
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A note on Jordan left *-centralizers on prime and semiprime rings with involution
Journal of Taibah University for Science, 2017 The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad +2 more
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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 also been discussed.
Abdelkarim Boua, Emine Koç Sögütcü
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Mathematica BohemicaWe study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings.
Rajendra Kumar Sharma, Amit B. Singh
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New characterization theorems of the mp-quantales [PDF]
Journal of Fuzzy Extension and Applications, 2021 The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
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Structure of Semiprime P.I. Rings [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring R R
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Identities on additive mappings in semiprime rings
Математичні Студії, 2023 Consider a ring $R$, which is semiprime and also having $k$-torsion freeness. If $F, d : R\to R$ are two additive maps fulfilling the algebraic identity $$F(x^{n+m})=F(x^m) x^n+ x^m d(x^n)$$ for each $x$ in $R.$ Then $F$ will be a generalized derivation ...
A. Z. Ansari, N. Rehman
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