Results 121 to 130 of about 1,149,018 (192)

On prime and semiprime near-rings with derivations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.
Nurcan Argaç
doaj   +1 more source

Jordan mappings of semiprime rings

open access: yesJournal of Algebra, 1989
An additive mapping 8 of a ring R into a 2-torsion free ring R’ is called a Jordan homomorphism if 6(ab +&z)=@(a) 8(b)+ 6(b) @(a) for all a, bE R. A well-known result of I. N. Herstein [4] states that every Jordan homomorphism onto a prime ring is either a homomorphism or an antihomomorphism.
openaire   +2 more sources

Center-like Subsets in Semiprime Rings with Multiplicative Derivations

open access: yesAxioms
We introduce center-like subsets Z∘*(A,d),Z∘**(A,d), where A is the ring and d is the multiplicative derivation. In the following, we take a new derivation for the center-like subsets existing in the literature and establish the relations between these ...
Sarah Samah Aljohani   +2 more
doaj   +1 more source

Emerging trends in soft set theory and related topics. [PDF]

open access: yesScientificWorldJournal, 2015
Feng F   +3 more
europepmc   +1 more source

Symmetric Reverse n-Derivations on Ideals of Semiprime Rings

open access: yesAxioms
This paper focuses on examining a new type of n-additive map called the symmetric reverse n-derivation. As implied by its name, it combines the ideas of n-additive maps and reverse derivations, with a 1-reverse derivation being the ordinary reverse ...
Shakir Ali   +4 more
doaj   +1 more source

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