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FINITE BASIS PROBLEM FOR INVOLUTION MONOIDS OF ORDER FIVE

Part of: Semigroups

Published online by Cambridge University Press:  09 October 2023

BIN BIN HAN Open the ORCID record for BIN BIN HAN [Opens in a new window] ,
WEN TING ZHANG Open the ORCID record for WEN TING ZHANG [Opens in a new window]  and
YAN FENG LUO Open the ORCID record for YAN FENG LUO [Opens in a new window]
BIN BIN HAN
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China e-mail: [email protected]
WEN TING ZHANG*
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China
YAN FENG LUO
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China e-mail: [email protected]
*
e-mail: [email protected]
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Abstract

An example of a nonfinitely based involution monoid of order five has recently been discovered. We confirm that this example is, up to isomorphism, the unique smallest among all involution monoids.

Keywords

monoidinvolutionidentity basisfinite basis problem

MSC classification

Primary: 20M05: Free semigroups, generators and relations, word problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 109 , Issue 2 , April 2024 , pp. 350 - 364
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

The authors are partially supported by the National Natural Science Foundation of China (Nos. 12271224, 12171213, 12161062) and the Fundamental Research Funds for the Central University (No. lzujbky-2023-ey06).

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