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Local finiteness for Green's relations in semigroup varieties
Publication . Volkov, Mikhail; Silva, Pedro; Soares, Filipa
A semigroup variety is said to be locally 𝒦-finite, where 𝒦 stands for any of Green’s relations ℋ, ℛ, ℒ, 𝒟, or 𝒥, if every finitely generated semigroup in this variety has only finitely many 𝒦-classes. We characterize locally 𝒦-finite varieties of finite axiomatic rank in the language of “forbidden objects”.

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Fundação para a Ciência e a Tecnologia

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5876

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UID/Multi/04621/2013

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