Results 61 to 70 of about 494 (78)

ON CERTAIN DIFFERENTIAL IDENTITIES IN PRIME RINGS WITH INVOLUTION

open access: yes, 2015
In the present paper we investigate commutativity of -prime ring R, which satisfies certain differential identities on -ideals of R. Some results already known for prime rings on ideals have also been deduced.
M. Ashraf, M. Siddeeque
semanticscholar   +1 more source

Kinds of Derivations on Hilbert c -Modules and Their Operator

open access: yes, 2015
Let M be a Hilbert C -module. A linear mapping dW M! M is called a deriva- tion if d. ·/D ·C ·C d· for all x;y;·2 M. We give some results for derivations and automatic continuity of them on M. Also, we will characterize generalized derivations and strong
M. Mirzavaziri
semanticscholar   +1 more source

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

open access: yesOpen Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source
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Dense subsets on Banach *-algebras with linear derivations

International Journal of Algebra, 2021
Let A be a Banach ∗-algebra over C. In this manuscript, we study the behaviour of linear derivations with regular involution which satisfy certain differential identitities. In fact, we prove that there is no positive integer n such that the set of a ∈ A
H. Alhazmi
semanticscholar   +1 more source

On $(\sigma, \tau)$-derivations of Prime Near-Rings-II

Sarajevo Journal of Mathematics
Let $N$ be a left near-ring and let $\sigma, \tau$ be automorphisms of $N$. An additive mapping $d : N \longrightarrow N$ is called a $(\sigma, \tau)$-derivation on $N$ if $d(xy) = \sigma (x)d(y) + d(x)\tau (y)$~for all $x,y \in N$.
Mohammad Ashraf, Shakir Ali
semanticscholar   +1 more source

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