Results 111 to 120 of about 1,149,018 (192)
On functional identities involving n-derivations in rings [PDF]
In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings.
Vaishali Varshney+3 more
doaj +1 more source
SYMMETRY OF EXTENDING PROPERTIES IN NONSINGULAR UTUMI RINGS [PDF]
his paper presents the right-left symmetry of the CS and max-min CS conditions on nonsingular rings, and generalization to nonsingular modules. We prove that a ring is right nonsingular right CS and left Utumi if and only if it is left nonsingular left ...
Truong Dinh Tu, Hai Dinh Hoang, Thuat Do
doaj
(ï³,ï´)- Strongly Derivations Pairs on Rings
Let R be an associative ring. In this paper we present the definition of (s,t)- Strongly derivation pair and Jordan (s,t)- strongly derivation pair on a ring R, and study the relation between them.
I. A. Saed
doaj
Some identities involving multiplicative generalized derivations in orime and semiprime rings
Let $R$ be a ring with center $Z(R)$. A mapping $F:R\rightarrow R$ is called a multiplicative generalized derivation, if $F(xy)=F(x)y+xg(y)$ is fulfilled for all $x,y\in R$, where $g:R\rightarrow R$ is a derivation.
B. Dhara
semanticscholar +1 more source
Strong Commutativity Preserving Maps of Semiprime Rings [PDF]
Matej Brešar, C. Robert Miers
openalex +1 more source
On Semiprime Rings with Generalized Derivations
Let R be a ring and F and G be generalized derivations of R with associated derivations d and g respectively. In the present paper,we shall investigate the commutativity of semiprime ring R admitting generalized derivations F and G satisfying any one of ...
Shakir Ali+3 more
doaj
Lie Ideals and Homoderivations in Semiprime Rings
Let S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi+4 more
doaj +1 more source
Goldie criteria for some semiprime rings [PDF]
Ken A. Brown, B. A. F. Wehrfritz
openalex +1 more source