We prove that the tensor product of two Munn algebras over the same field is also a Munn algebra. Also, that the tensor product of two Munn algebras is unital if and only if the factors are unital. Further, it is shown that if two Munn algebras are semisimple, then their tensor product is also semisimple.

F-algebras, semisimple algebra, tensor product, algebraic, Munn algebra.

Received: February 7, 2023; Accepted: March 17, 2023; Published: April 18, 2023

How to cite this article: Eman Alluqmani, Tensor product of Munn algebras, JP Journal of Algebra, Number Theory and Applications 61(2) (2023), 101-108. http://dx.doi.org/10.17654/0972555523012

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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