Maximal Clifford Semigroups of Matrices

Authors

  • Edmond W. H. Lee Department of Mathematics, Simon Fraser University, Burnaby, Canada

DOI:

https://doi.org/10.5644/SJM.02.2.02

Abstract

All maximal Clifford semigroups of matrices are identified up to isomorphism. If the ground field of the matrices is finite, then there exists a unique Clifford semigroup of maximum order.

 

2000 Mathematics Subject Classification. 20M25

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References

D. S. Dummit and R. M. Foote, Abstract Algebra, Prentice Hall, Englewood Cliffs, New Jersey, 1991.

J. M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995.

E. W. H. Lee, Maximal normal orthogroups in rings containing no infinite semilattices, Commun. Algebra, 34 (2006), 323–334.

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Published

12.06.2024

How to Cite

Lee, E. W. H. (2024). Maximal Clifford Semigroups of Matrices. Sarajevo Journal of Mathematics, 2(2), 147–152. https://doi.org/10.5644/SJM.02.2.02

Issue

Vol. 2 No. 2 (2006)

Section

Articles