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arXiv · 1711.07636

Local finiteness for Green's relations in semigroup varieties

Mikhail V. Volkov·Pedro V. Silva·Filipa Soares
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Abstract

A semigroup variety V 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 from V 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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Mikhail V. Volkov, Pedro V. Silva, Filipa Soares. 2017-11-21. Local finiteness for Green's relations in semigroup varieties. https://arxiv.org/abs/1711.07636

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