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Local finiteness for Green's relations in semigroup varieties

Preprint

<p>A semigroup variety V is said to be locally K-finite, where K stands for any of Green\textquoterights relations H, R, L, D, or J, if every finitely generated semigroup from V has only finitely many K-classes. We characterize locally K-finite varieties of finite axiomatic rank in the language of "forbidden objects".</p>

Mikhail Volkov

Pedro Silva

Filipa Soares

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Year of publication: 2017

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