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Paper Information

Journal:   JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA   2014 , Volume 3 , Number 4; Page(s) 185 To 194.
 
Paper: 

ON (σ,τ)-MODULE EXTENSION BANACH ALGEBRAS

 
 
Author(s):  FOZOUNI M.*
 
* DEPARTMENT OF MATHEMATICS, GONBAD KAVOUS UNIVERSITY, GONBAD-E KAVOUS, GOLESTAN, IRAN
 
Abstract: 

Let A be a Banach algebra and X be a Banach A-bimodule. In this paper, we define a new product on A ?X and generalize the module extension Banach algebras. We obtain characterizations of Arens regularity, commutativity, semisimplity, and study the ideal structure and derivations of this new Banach algebra.

 
Keyword(s): BANACH ALGEBRA, MODULE EXTENSION, IDEAL, DERIVATION, ARENS REGULAR
 
References: 
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