In this paper, we address the additivity of $n$-multiplicative isomorphisms and $n$-multiplicative derivations on Gamma rings. We proved that, if $\M$ is a $\Gamma$-ring satisfying the some conditions, then any $n$-multiplicative isomorphism $\left(\varphi, \phi\right)$ of $\M$ onto an arbitrary gamma ring is additive.Comment: 10 page
Let $\mathfrak{R}$ and $\mathfrak{R}'$ be two associative rings (not necessarily with the identity e...
AbstractFor every ring R with the unit I containing a nontrivial idempotent P, we describe the addit...
Let R be a semiprime ring and let F, f : R → R be (not necessarily additive) maps satisfying F(xy)=F...
Let M and M' be Gamma rings, respectively. We study the additivity of surjective elementary maps of ...
AbstractIn this paper we shall give a unified technique in the discussion of the additivity of n-mul...
An extensive generalized concept of classical ring set forth the notion of a gamma ring theory.As an...
AbstractWe show that every multiplicative (α,β)-derivation of a ring R is additive if there exists a...
In recent years, there has been a great interest in the study of additivity of mappings on rings as ...
In recent years, there has been a great interest in the study of additivity of mappings on rings as ...
In recent years, there has been a great interest in the study of additivity of mappings on rings as ...
summary:A ring or an idempotent semiring is associative provided that additive endomorphisms are mul...
summary:A ring or an idempotent semiring is associative provided that additive endomorphisms are mul...
AbstractWe show that every multiplicative (α,β)-derivation of a ring R is additive if there exists a...
We study rings of integral modular forms for congruence subgroups as modules over the ring of integr...
Let D be a mapping from an alternative ring R into itself satisfyingD(ab) = D(a)b + aD(b) for all a;...
Let $\mathfrak{R}$ and $\mathfrak{R}'$ be two associative rings (not necessarily with the identity e...
AbstractFor every ring R with the unit I containing a nontrivial idempotent P, we describe the addit...
Let R be a semiprime ring and let F, f : R → R be (not necessarily additive) maps satisfying F(xy)=F...
Let M and M' be Gamma rings, respectively. We study the additivity of surjective elementary maps of ...
AbstractIn this paper we shall give a unified technique in the discussion of the additivity of n-mul...
An extensive generalized concept of classical ring set forth the notion of a gamma ring theory.As an...
AbstractWe show that every multiplicative (α,β)-derivation of a ring R is additive if there exists a...
In recent years, there has been a great interest in the study of additivity of mappings on rings as ...
In recent years, there has been a great interest in the study of additivity of mappings on rings as ...
In recent years, there has been a great interest in the study of additivity of mappings on rings as ...
summary:A ring or an idempotent semiring is associative provided that additive endomorphisms are mul...
summary:A ring or an idempotent semiring is associative provided that additive endomorphisms are mul...
AbstractWe show that every multiplicative (α,β)-derivation of a ring R is additive if there exists a...
We study rings of integral modular forms for congruence subgroups as modules over the ring of integr...
Let D be a mapping from an alternative ring R into itself satisfyingD(ab) = D(a)b + aD(b) for all a;...
Let $\mathfrak{R}$ and $\mathfrak{R}'$ be two associative rings (not necessarily with the identity e...
AbstractFor every ring R with the unit I containing a nontrivial idempotent P, we describe the addit...
Let R be a semiprime ring and let F, f : R → R be (not necessarily additive) maps satisfying F(xy)=F...