Open AccessOn Fully Stable Banach Algebra Modules Relative to an Ideal
Author(s) -
Baghdad Science Journal
Publication year - 2017
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.14.4.813-815
Subject(s) - ideal (ethics) , mathematics , banach algebra , pure mathematics , multiplier (economics) , algebra over a field , discrete mathematics , banach space , philosophy , epistemology , economics , macroeconomics
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 ?:Y?X such that ?(Y)?Y+KX. Their properties and other characterizations for this concept have been studied.