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This article is cited in 10 scientific papers (total in 10 papers)
Quasivarieties of Sugihara semilattices with involution
W. Dziobiak University of Puerto Rico, Department of Mathematical Sciences
Abstract:
We show that in the lattice of quasivarieties contained in the quasivariety generated by an $n$-element relatively subdirectly indecomposable Sugihara semilattice with involutions there exists a sublattice isomorphic to the lattice of ideals of a free lattice if and only if $n\geqslant3$. We also give two consequences of this result.
Received: 21.07.1999
Citation:
W. Dziobiak, “Quasivarieties of Sugihara semilattices with involution”, Algebra Logika, 39:1 (2000), 47–65; Algebra and Logic, 39:1 (2000), 26–36
Linking options:
https://www.mathnet.ru/eng/al263 https://www.mathnet.ru/eng/al/v39/i1/p47
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