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Advisor(s)
Abstract(s)
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”.
Description
Keywords
Green's relation Local finiteness Finitude local Relações de Green
Citation
VOLKOV, Mikhail V.; SILVA, Pedro V.; SOARES, Filipa – Local finiteness for Green's relations in semigroup varieties. Communications in Algebra. ISSN 0092-7872. Vol. 46, N.º 11 (2018), pp. 4625-4653
Publisher
Taylor & Francis