On fully stable Banach Algebra modules relative to an ideal

الملخص EN

In this paper, the concept of fully stable Banach Algebra modules relative to an ideal has been introduced.

Let A be an algebra, X is called fully stable Banach A-module relative to ideal K of A, if for every submodule Y of X and for each multiplier θ:Y⟶X such that θ(Y)⊆Y+KX.

Their properties and other characterizations for this concept have been studied