Locally Finite Quasivarieties of MV-algebras

Preprint English OPEN
Gispert, Joan; Torrens, Antoni;
  • Subject: Mathematics - Logic
    arxiv: Mathematics::General Topology | Mathematics::General Mathematics | Mathematics::Logic | Mathematics::Rings and Algebras

In this paper we show that every locally finite quasivariety of MV-algebras is finitely generated and finitely based. To see this result we study critical MV-algebras. We also give axiomatizations of some of these quasivarieties.
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