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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 $${\mathcal{K}_n}$$ K n are nonfinitely based for each $${n \geq 3}$$ n ≥ 3 . This result holds also for the case when $${\mathcal{K}_n}$$ K n is considered as an involution semigroup under either of its natural...
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