A^{**}-biprojectivity of Banach algebras

Document Type : Original Article

Authors

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

Abstract

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.

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References

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Measure Algebras and Applications
Volume 1, Issue 1 - Serial Number 1
September 2023
Pages 128-140

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History

  • Receive Date: 01 August 2023
  • Revise Date: 10 September 2023
  • Accept Date: 27 September 2023

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