Title : ( Some results on generalized σ -derivations )
Authors: A. Hosseini , M. Hassani , Asadollah Niknam ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
Let A and B be two Banach algebras and letMbe a Banach B-bimodule. Suppose that σ : A → B is a linear mapping and δ : A → M is a (σ,d)-derivation. Two results about automatic continuity of (σ, d)−derivations is proved. In this article it is proved that eσ, under certain conditions, is a edσ-morphism. Finally, a formula will be introduced concerning δn(ab) for all n ∈ N and a, b ∈ A, where δ : A → A is a generalized σ-derivation
Keywords
, Prime left; σ-Derivation; (σ, d)-Derivation; Two variables σ−derivation; Nilpotent element; Leibnitz’s rule.
@article{paperid:1052425,
author = {A. Hosseini and M. Hassani and Niknam, Asadollah},
title = {Some results on generalized σ -derivations},
journal = {Journal of Advanced Research in Pure Mathematics},
year = {2013},
volume = {5},
number = {3},
month = {January},
issn = {1943-2380},
pages = {61--72},
numpages = {11},
keywords = {Prime left; σ-Derivation; (σ; d)-Derivation; Two variables σ−derivation; Nilpotent
element; Leibnitz’s rule.},
}
%0 Journal Article
%T Some results on generalized σ -derivations
%A A. Hosseini
%A M. Hassani
%A Niknam, Asadollah
%J Journal of Advanced Research in Pure Mathematics
%@ 1943-2380
%D 2013
