Embedding finite involution semigroups in matrices with transposition

Edmond W. H. Lee

doi:10.1016/j.dam.2023.07.009

Embedding finite involution semigroups in matrices with transposition

Edmond W. H. Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Pages (from-to)	327–330
Journal	Discrete Applied Mathematics
Volume	340
DOIs	https://doi.org/10.1016/j.dam.2023.07.009
State	Published - Dec 15 2023

Keywords

Embedding
Inverse semigroup
Involution semigroup
Semigroup
Semigroup of matrices
Transposition

Disciplines

Mathematics

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10.1016/j.dam.2023.07.009License: Unspecified

Cite this

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title = "Embedding finite involution semigroups in matrices with transposition",

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.",

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year = "2023",

month = dec,

day = "15",

doi = "10.1016/j.dam.2023.07.009",

language = "American English",

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journal = "Discrete Applied Mathematics",

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T1 - Embedding finite involution semigroups in matrices with transposition

AU - Lee, Edmond W. H.

PY - 2023/12/15

Y1 - 2023/12/15

N2 - 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.

AB - 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.

KW - Embedding

KW - Inverse semigroup

KW - Involution semigroup

KW - Semigroup

KW - Semigroup of matrices

KW - Transposition

UR - http://www.webofscience.com/wos/woscc/full-record/WOS:001059106100001

UR - http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85169439256

U2 - 10.1016/j.dam.2023.07.009

DO - 10.1016/j.dam.2023.07.009

M3 - Article

SN - 0166-218X

VL - 340

SP - 327

EP - 330

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

ER -

Embedding finite involution semigroups in matrices with transposition

Abstract

Keywords

Disciplines

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