On (approximate) homological notions of certain Banach algebras

Amir Sahami, Department of Mathematics Faculty of Basic Sciences Ilam University, Ilam, Iran, Roshanak Lotfikar, Ahmad Soltanmohamadi, Department of Mathematics Faculty of Basic Sciences Ilam University, Ilam, Iran, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran
2020 Mathematica Montisnigri  
In this paper, we study the notion of -biflatness, -biprojectivity, approximate biprojectivity and Johnson pseudo-contractibility for a new class of Banach algebras. Using this class of Banach algebras, we give some examples which are approximately biprojective. Also some Banach algebras are given among matrix algebras which are never Johnson pseudo-contractible.
doi:10.20948/mathmontis-2020-47-1 fatcat:65sjsljxvbaw5okno3iwy5uq7q