University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 21 4 2010 12 01 Ideal Amenability of Banach Algebras and Some Hereditary Properties Ideal Amenability of Banach Algebras and Some Hereditary Properties 21586 EN M. Eshaghi Gordji Journal Article 1970 01 01 Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hereditary properties of ideal amenability. https://jsciences.ut.ac.ir/article_21586_454574cb8cc2882f6c18f718a09e9ebe.pdf