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A NEW EXAMPLE OF A MINIMAL NONFINITELY BASED SEMIGROUP

Part of: Semigroups

Published online by Cambridge University Press:  06 September 2011

WEN TING ZHANG  and
YAN FENG LUO
WEN TING ZHANG*
Affiliation:
Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, PR China (email: [email protected])
YAN FENG LUO
Affiliation:
Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, PR China (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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Only three of the 15 973 distinct six-element semigroups are presently known to be nonfinitely based. This paper introduces a fourth example.

Keywords

semigroupsLee’s semigroupfinitely based

MSC classification

Secondary: 20M07: Varieties and pseudovarieties of semigroups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 484 - 491
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This research was partially supported by the National Natural Science Foundation of China (No. 10971086) and the Fundamental Research Funds for the Central University (No. lzujbky-2009-119).

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