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Non-finitely based finite involution semigroups with finitely based semigroup reducts

Korean Journal of Mathematics, Vol: 27, Issue: 1, Page: 53-62
2019
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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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