A+ CATEGORY SCIENTIFIC UNIT

Minimal non-finitely based monoids

Volume 475 / 2011

Edmond W. H. Lee, Jian Rong Li Dissertationes Mathematicae 475 (2011), 1-65 MSC: 20M07. DOI: 10.4064/dm475-0-1

Abstract

Two semigroups are said to be {\it distinct} if they are neither isomorphic nor anti-isomorphic. Although there exist 1373 distinct monoids of order six, only two are known to be non-finitely based. In the present dissertation, the finite basis property of the other 1371 distinct monoids of order six is verified. Since it is long established that all semigroups of order five or less are finitely based, the two known non-finitely based monoids of order six are the only examples of minimal order.

Authors

  • Edmond W. H. LeeDepartment of Mathematics
    Simon Fraser University
    Burnaby, British Columbia, V5A 1S6
    Canada
    e-mail
  • Jian Rong LiDepartment of Mathematics
    Lanzhou University
    Lanzhou, Gansu, 730000
    People's Republic of China
    e-mail

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