On (ɱ,ɳ)-Strongly Fully Stably Banach Algebra Modules Related to an Ideal of Am ×ɳ

Abstract

The aim of this paper is introducing the concept of (ɱ,ɳ) strong full stability B-Algebra-module related to an ideal. Some properties of (ɱ,ɳ)- strong full stability B-Algebra-module related to an ideal have been studied and another characterizations have been given. The relationship of (ɱ,ɳ) strong full stability B-Algebra-module related to an ideal that states, a B- -module Ӽ is (ɱ,ɳ)- strong full stability B-Algebra-module related to an ideal , if and only if for any two ɱ-element sub-sets and of Ӽɳ, if , for each j = 1, …, ɱ, i = 1,…, ɳ and implies Ạɳ( ) Ạɳ( have been proved..

Keywords

• Fully-stable-B-algebra-module relate to an ideal, (M,N)-full-stability-B- Algebra-module relate to ideal, Multiplication-(ɱ,ɳ)-B-algebra-module relate to ideal, Baer-(ɱ,ɳ)-criterion relate to an ideal, Pure-(ɱ, ɳ)- sub-module .