Title of article
Homological Properties of Some Types of Generalized Matrix Banach Algebras
Author/Authors
Salehi Marzijarani ، Azam Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan , Essmaili ، Morteza Department of Mathematics - Faculty of Mathematical and Computer Sciences - Kharazmi University , Rejali ، Ali Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan
From page
3767
To page
3777
Abstract
Let G be a generalized matrix Banach algebra associated with a Morita context (A, B, M, N, , ). In this paper, we investigate biprojectivity and biflatness of G, under certain conditions. Indeed, we obtain a biprojective (resp. biflat) generalized matrix Banach algebra such that M = 0 and N = 0. Moreover, we give a sufficient condition for biprojectivity and biflatness of G, in the case where A = N = 0. Using this fact, we obtain some results about homological properties of bi-amalgamated Banach algebras. As an application, we answer some recent open questions.
Keywords
Generalized matrix Banach algebras , Bi , amalgamated Banach algebras , Biprojectivity , Biflatness
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2775207
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