Left ϕ-biflatness and ϕ-biprojectivity of certain Banach algebras with applications
نویسندگان
1 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
4 Department of Mathematics Faculty of Basic Sciences, Ilam University, P.O. Box 69315-516, Ilam, Iran
doi
10.22060/ajmc.2024.22985.1211چکیده
This paper continues the investigation initially begun in [24]. We show that left ϕ-biflatness and left ϕ-biprojectivity are closely related to the notions of left ϕ-amenability and ϕ-inner amenability. We characterize left ϕ-biprojectivity and left ϕ-biflatness of certain semigroup algebras and some algebras related to a locally compact group. We discuss non left ϕ-biflatness of some specified triangular Banach algebras.
