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http://dx.doi.org/10.11568/kjm.2019.27.1.53

NON-FINITELY BASED FINITE INVOLUTION SEMIGROUPS WITH FINITELY BASED SEMIGROUP REDUCTS  

Lee, Edmond W.H. (Department of Mathematics Nova Southeastern University)
Publication Information
Korean Journal of Mathematics / v.27, no.1, 2019 , pp. 53-62 More about this Journal
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.
Keywords
Semigroup; involution; ${\ast}$-semigroup; finitely based;
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