Generalized derivations of (color)n-ary algebras

MODULE GENERALIZED DERIVATIONS ON TRIANGULAUR BANACH ALGEBRAS

Let $A_1$, $A_2$ be unital Banach algebras and $X$ be an $A_1$-$A_2$- module. Applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $A_i$ into the dual space $A^*_i$ (for$i=1,2$) and such derivations  from  the triangular Banach algebraof t...

Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras

On the stability of generalized derivations on Banach algebras

We investigate the stability of generalizedderivations on Banach algebras with a bounded central approximateidentity. We show that every approximate generalized derivation inthe sense of Rassias, is an exact generalized derivation. Also thestability problem of generalized derivations on the faithful Banachalgebras is investigated.

On Generalized f-Derivations of BE-Algebras

In this paper, we introduce the notion of a generalized f -derivation in a BEalgebra, and obtain some properties in generalized f -derivations. Also, we characterized isotone generalized f -derivations and KerD. Mathematics Subject Classification: 06F35, 03G25, 08A30

module generalized derivations on triangulaur banach algebras

let $a_1$, $a_2$ be unital banach algebras and $x$ be an $a_1$-$a_2$- module. applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $a_i$ into the dual space $a^*_i$ (for$i=1,2$) and such derivations  from  the triangular banach algebraof t...