A^{**}-biprojectivity of Banach algebras

نویسندگان

1 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran

2 Department of Mathematics, Faculty of Basic Science, Ilam University, Ilam, Iran

doi
10.22091/maa.2023.9829.1011
چکیده

In this paper, we introduce a new homological notion related to biprojective Banach algebras, namely A^{**}-biprojective Banach algebras. We study the relation between this new notion and the other homological notions, such as amenability, pseudo-amenability and inner amenability. Also, we investigate this new notion on certain Banach algebras such as group algebras, Lipschitz algebras and triangular Banach algebras.