On the lattice of quasivarieties of Sugihara algebras |
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| Authors: | W J Blok W Dziobiak |
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| Institution: | (1) Department of Mathematics Statistics and Computer Science, University of Illinois at Chicago, Chicago, USA;(2) Section of Logic, Polish Academy of Sciences, 179  ód , Piotrkowska, Poland |
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| Abstract: | Let S denote the variety of Sugihara algebras. We prove that the lattice  (K) of subquasivarieties of a given quasivariety K
S is finite if and only if K is generated by a finite set of finite algebras. This settles a conjecture by Tokarz 6]. We also show that the lattice (S) is not modular. |
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