Some counterexamples of $(\phi,\psi)-$amenable -like properties of Banach algebras

Authors

  • Salman Babayi Department of Mathematics, Urmia University, Urmia, P.O. Box 5756151818, West Azarbayjan Province, Iran.
  • Salman Babayi Department of Mathematics, Urmia University, Urmia, P.O. Box 5756151818, West Azarbayjan Province, Iran.
  • Amir Sahami Department of Mathematics, Ilam University, Ilam, P.O. Box 69315-516, Ilam Province, Iran.
  • Seyed Mehdi Kazemi Torbaghan Department of Mathematics, University of Bojnord, Bojnord, P.O. Box 9453155111, Khorasan Shomali Province, Iran.
  • Seyed Mehdi Kazemi Torbaghan Department of Mathematics, University of Bojnord, Bojnord, P.O. Box 9453155111, Khorasan Shomali Province, Iran.

Keywords:

$(\varphi, \psi)$-approximate biprojective, \psi)$-pseudo- amenable, \psi)$-biflat, Banach algebras.

Abstract

In this note we give some examples that shows that \cite[Theorem 3.4]{gh} and \cite[Theorem 3.7]{gh} is incorrect.

Author Biographies

Salman Babayi, Department of Mathematics, Urmia University, Urmia, P.O. Box 5756151818, West Azarbayjan Province, Iran.

Assistant Professor

Salman Babayi, Department of Mathematics, Urmia University, Urmia, P.O. Box 5756151818, West Azarbayjan Province, Iran.

Assistant Professor

Amir Sahami, Department of Mathematics, Ilam University, Ilam, P.O. Box 69315-516, Ilam Province, Iran.

Associated Professor

Seyed Mehdi Kazemi Torbaghan, Department of Mathematics, University of Bojnord, Bojnord, P.O. Box 9453155111, Khorasan Shomali Province, Iran.

Assistant Professor

Seyed Mehdi Kazemi Torbaghan, Department of Mathematics, University of Bojnord, Bojnord, P.O. Box 9453155111, Khorasan Shomali Province, Iran.

Assistant Professor

Published

2025-10-15

Issue

Vol. 19

Section

Vol. 19, No. 5, (2025)

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