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The Finite Basis Problem for Kauffman Monoids

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 نشر من قبل Mikhail Volkov
 تاريخ النشر 2014
  مجال البحث
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We prove a sufficient condition under which a semigroup admits no finite identity basis. As an application, it is shown that the identities of the Kauffman monoid $mathcal{K}_n$ are nonfinitely based for each $nge 3$. This result holds also for the case when $mathcal{K}_n$ is considered as an involution semigroup under either of its natural involutions.

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