JP Journal of Algebra, Number Theory and Applications

The JP Journal of Algebra, Number Theory and Applications is a prestigious international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research papers, both theoretical and applied in nature, in various branches of algebra and number theory. The journal also welcomes survey articles that contribute to the advancement of these fields.

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TENSOR PRODUCT OF MUNN ALGEBRAS

Authors

  • Eman Alluqmani

Keywords:

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

DOI:

https://doi.org/10.17654/0972555523012

Abstract

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.

Received: February 7, 2023
Accepted: March 17, 2023

References

A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, Vol. 1, American Mathematical Soc., 1961.

C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, American Mathematical Soc., 1966.

W. D. Munn, On semigroup algebras, Mathematical Proceedings of the Cambridge Philosophical Soc., Vol. 51, 1955.

P. I. Etingof, O. Golberg, S. Hensel, T. Liu, A. Schwendner, D. Vaintrob and E. Yudovina, Introduction to representation theory, American Mathematical Soc., Vol. 59, 2011.

T. W. Hungerford, Algebra, Springer Science and Business Media, Vol. 73, 2012.

J. Okninski, Semigroup Algebras, CRC Press, 2020.

Published

2023-04-18

Issue

Section

Articles

How to Cite

TENSOR PRODUCT OF MUNN ALGEBRAS. (2023). JP Journal of Algebra, Number Theory and Applications, 61(2), 101-108. https://doi.org/10.17654/0972555523012

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