A^{**}-biprojectivity of Banach algebras based on maximal ideal space
نویسندگان
1 Department of Mathematics, Faculty of Basic Science, Ilam University, Ilam, Iran
2 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
doi
10.22091/maa.2024.10255.1012چکیده
In this paper, we continue the study of A^{**}-biprojectivity of Banach algebras, and the relation between this new notion and phi-amenability of Banach algebras is investigated. A^{**}-biprojectivity of Segal algebras and lower triangular matrix algebras is studied. Also, we introduce the notion of phi-A^{**}-biprojectivity of Banach algebras. Some examples indicate that this notion is weaker than A^{**}-biprojectivity. We obtain the relation between this notion and phi-amenability and phi-inner amenability. Finally, we investigate this new notion on certain Banach algebras such as group algebras, measure algebras, and lower triangular Banach algebras.
