Approximate biprojectivity and $\phi $-biflatness of certain Banach algebras

Biflatness and biprojectivity of Lau product of Banach algebras

Amonge other things we give sufficient and necessary conditions for the Lau product of Banachalgebras to be biflat or biprojective.

biflatness and biprojectivity of lau product of banach algebras

amonge other things we give sufficient and necessary conditions for the lau product of banachalgebras to be biflat or biprojective.

phi-Amenable and phi-biflat Banach algebras

In this paper we study the concept of ph-biatness ofa Banach algebra A, where ph is a continuous homomorphism on A.We prove that if ph is a continuous epimorphism on A and A hasa bounded approximate identity and A is ph- biat, then A is ph-amenable. In the case where ph is an isomorphism on A we showthat the ph- amenability of A implies its ph-biatness.

Biflatness and Biprojectivitiy of Triangular Banach Algebras

Biflatness of certain semigroup algebras

In the present paper, we consider biflatness of certain classes of semigroupalgebras. Indeed, we give a necessary condition for a band semigroup algebra to bebiflat and show that this condition is not sufficient. Also, for a certain class of inversesemigroups S, we show that the biflatness of ell^{1}(S)^{primeprime} is equivalent to the biprojectivity of ell^{1}(S).