Approximate left $\varphi$-biprojectivity of $\theta$-Lau product algebras

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran

2 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran

3 Department of Mathematics, Farhangian University of Kermanshah, Kermanshah, Iran

4 Department of Mathematics, Faculty of Basic Sciences Ilam University P.O. Box 69315-516 Ilam, Iran

Abstract

We continue \cite{sp1 glas} and we discuss approximately left $\varphi$-biprojectivity for $\theta$-Lau product algebras. We give some Banach algebras among the category of $\theta$-Lau product algebras which are not approximately left $\varphi$-biprojective. In fact, some class of matrix algebras under the notion of approximate left $\varphi$-biprojectivity is also discussed here.

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