Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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NON-FINITELY BASED FINITE INVOLUTION SEMIGROUPS WITH FINITELY BASED SEMIGROUP REDUCTS

  • Lee, Edmond W.H. (Department of Mathematics Nova Southeastern University)
  • Received : 2018.06.13
  • Accepted : 2019.02.15
  • Published : 2019.03.30
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Abstract

Recently, an infinite class of finitely based finite involution semigroups with non-finitely based semigroup reducts have been found. In contrast, only one example of the opposite type-non-finitely based finite involution semigroups with finitely based semigroup reducts-has so far been published. In the present article, a sufficient condition is established under which an involution semigroup is non-finitely based. This result is then applied to exhibit several examples of the desired opposite type.

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References

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