Local finiteness for Green's relations in semigroup varieties
Volkov, Mikhail V. · Silva, Pedro V. · Soares, Filipa
الأصل · EN
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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