Results 11 to 20 of about 677,100 (167)

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
openaire   +4 more sources

Commutativity results for semiprime rings with derivations [PDF]

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
doaj   +2 more sources

A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings

Journal of Mathematics
In 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
doaj   +2 more sources

Semiprime SF-rings whose essential left ideals are two-sided [PDF]

International Journal of Mathematics and Mathematical Sciences, 1994
It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
Zhang Jule, Du Xhianneng
doaj   +2 more sources

S-Semiprime Submodules and S-Reduced Modules

Journal of Mathematics, 2020
This article introduces the concept of S-semiprime submodules which are a generalization of semiprime submodules and S-prime submodules. Let M be a nonzero unital R-module, where R is a commutative ring with a nonzero identity.
Ayten Pekin, Ünsal Tekir, Özge Kılıç   +2 more
doaj   +2 more sources

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
doaj   +2 more sources

Characterization of Reverse (l, m, n)-Homoderivations on Prime and Semiprime Rings

International Journal of Mathematics and Mathematical Sciences
We introduce the concept of reverse l,m,n-homoderivations as a new class of additive mappings on rings, providing a common generalization of reverse derivations, antihomomorphisms, and related homoderivation-type mappings.
M. S. Tammam El-Sayiad, Munerah Almulhem, Mahmoud M. El-Soufi   +2 more
doaj   +2 more sources

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
Joe W. Fisher
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Semiprime rings with nilpotent Lie ring of inner derivations [PDF]

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions.
Kamil Kular
doaj   +2 more sources

On Additivity and Multiplicativity of Centrally Extended α,β-Higher Derivations in Rings

International Journal of Mathematics and Mathematical Sciences
In this paper, the concept of centrally extended α,β-higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals.
O. H. Ezzat
doaj   +2 more sources