Article
Embedding Finite Involution Semigroups in Matrices with Transposition
Discrete Applied Mathematics
Document Type
Article
Publication Date
12-15-2023
Keywords
- Semigroup,
- Involution semigroup,
- Inverse semigroup,
- Semigroup of matrices,
- Transposition,
- Embedding
Disciplines
Abstract
The present article establishes two contrasting results: a finite involution semigroup is embeddable in some semigroup of complex matrices with conjugate transposition if and only if it is an inverse semigroup, while every finite involution semigroup is embeddable in some semigroup of binary matrices with the skew transposition across the secondary diagonal.
ORCID ID
https://orcid.org/0000-0002-1662-3734
DOI
https://doi.org/10.1016/j.dam.2023.07.009
Citation Information
Edmond W. H. Lee. "Embedding Finite Involution Semigroups in Matrices with Transposition" Discrete Applied Mathematics Vol. 340 (2023) p. 327 - 330 ISSN: 1872-6771 Available at: http://works.bepress.com/edmond-lee/73/
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