Results 111 to 120 of about 1,149,018 (192)

On functional identities involving n-derivations in rings [PDF]

open access: yesJournal of Mahani Mathematical Research
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]

open access: yesSurveys in Mathematics and its Applications, 2020
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  

(,)- Strongly Derivations Pairs on Rings

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2016
        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

open access: yes, 2018
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

On Semiprime Rings with Generalized Derivations

open access: yesBoletim da Sociedade Paranaense de Matemática, 2010
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

open access: yesMathematics
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]

open access: bronze, 1991
Ken A. Brown, B. A. F. Wehrfritz
openalex   +1 more source

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