Geodesic
Quasivarieties of Sugihara semilattices with involution
Algebra i logika, Tome 39 (2000) no. 1, pp. 47-65

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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. 
@article{AL_2000_39_1_a3,
     author = {W. Dziobiak},
     title = {Quasivarieties of {Sugihara} semilattices with involution},
     journal = {Algebra i logika},
     pages = {47--65},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2000_39_1_a3/}
}
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W. Dziobiak. Quasivarieties of Sugihara semilattices with involution. Algebra i logika, Tome 39 (2000) no. 1, pp. 47-65. http://geodesic.mathdoc.fr/item/AL_2000_39_1_a3/