Mathematics Faculty Articles

Embedding Finite Involution Semigroups in Matrices with Transposition

Document Type

Article

Publication Date

12-15-2023

Publication Title

Discrete Applied Mathematics

Keywords

Semigroup, Involution semigroup, Inverse semigroup, Semigroup of matrices, Transposition, Embedding

ISSN

1872-6771

Volume

340

First Page

327

Last Page

330

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.

Comments

© 2023 Elsevier B.V. All rights reserved.

ORCID ID

https://orcid.org/0000-0002-1662-3734

DOI

https://doi.org/10.1016/j.dam.2023.07.009

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