%0 Journal Article
%T Left $\phi$-biflatness and $\phi$-biprojectivity of certain Banach algebras with applications
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Salimi, Solaleh
%A Mahmoodi, Amin
%A Rostami, Mehdi
%A Sahami, Amir
%D 2024
%\ 04/14/2024
%V
%N
%P -
%! Left $\phi$-biflatness and $\phi$-biprojectivity of certain Banach algebras with applications
%K $\phi$-Biflatness
%K $\phi$-Biprojectivity
%K $\phi$-Inner amenability
%R 10.22060/ajmc.2024.22985.1211
%X This paper continues the investigation initially begun for left $\phi$-biflatness and left $\phi$-biprojectivity. We show that left $\phi$-biflatness and left $\phi$-biprojectivity are closely related to the notions of left $\phi$-amenability and $\phi$-inner amenability. We characterize left $\phi$-biprojectivity and left $\phi$-biflatness of certain semigroup algebras and some algebras related to a locally compact group. We discuss non left $\phi$-biflatness of some specified triangular Banach algebras.
%U