Non-Specht variety generated by an involution semigroup of order five

Edmond W. H. Lee

doi:10.1090/mosc/302

Non-Specht variety generated by an involution semigroup of order five

Edmond W. H. Lee

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

Abstract

The non-orthodox 0-simple semigroup A₂ of order five admits a unary operation under which it is an involution semigroup. It is known that A₂ generates a Specht variety of semigroups. In contrast, it is shown that as an involution semigroup, A₂ generates a non-Specht variety.

Original language	American English
Pages (from-to)	87–95
Number of pages	9
Journal	Transactions of the Moscow Mathematical Society
Volume	81
DOIs	https://doi.org/10.1090/mosc/302
State	Published - Dec 2020

Bibliographical note

Publisher Copyright:
© 2020 American Mathematical Society.

ASJC Scopus Subject Areas

Mathematics (miscellaneous)

Keywords

Semigroup
Involution
Variety
Finitely based
Specht variety

Disciplines

Mathematics

Access to Document

10.1090/mosc/302

Cite this

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title = "Non-Specht variety generated by an involution semigroup of order five",

abstract = " The non-orthodox 0-simple semigroup A2 of order five admits a unary operation under which it is an involution semigroup. It is known that A2 generates a Specht variety of semigroups. In contrast, it is shown that as an involution semigroup, A2 generates a non-Specht variety.",

keywords = "Semigroup, Involution, Variety, Finitely based, Specht variety",

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note = "Publisher Copyright: {\textcopyright} 2020 American Mathematical Society.",

year = "2020",

month = dec,

doi = "10.1090/mosc/302",

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N2 - The non-orthodox 0-simple semigroup A2 of order five admits a unary operation under which it is an involution semigroup. It is known that A2 generates a Specht variety of semigroups. In contrast, it is shown that as an involution semigroup, A2 generates a non-Specht variety.

AB - The non-orthodox 0-simple semigroup A2 of order five admits a unary operation under which it is an involution semigroup. It is known that A2 generates a Specht variety of semigroups. In contrast, it is shown that as an involution semigroup, A2 generates a non-Specht variety.

KW - Semigroup

KW - Involution

KW - Variety

KW - Finitely based

KW - Specht variety

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UR - https://www.scopus.com/pages/publications/85103174722#tab=citedBy

U2 - 10.1090/mosc/302

DO - 10.1090/mosc/302

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SN - 0077-1554

VL - 81

SP - 87

EP - 95

JO - Transactions of the Moscow Mathematical Society

JF - Transactions of the Moscow Mathematical Society

ER -

Non-Specht variety generated by an involution semigroup of order five

Abstract

Bibliographical note

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

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