Geodesic
Congruences on pseudocomplemented semilattices
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 2, pp. 219-231 Cet article a éte moissonné depuis la source Library of Science

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It is known that congruence lattices of pseudocomplemented semilattices are pseudocomplemented [4]. Many interesting properties of congruences on pseudocomplemented semilattices were described by Sankappanavar in [4], [5], [6]. Except for other results he described congruence distributive pseudocomplemented semilattices [6] and he characterized pseudocomplemented semilattices whose congruence lattices are Stone, i.e. belong to the variety B₁ [5].
Keywords: pseudocomplemented semilattice, congruence lattice, p-algebra, Stone algebra, (relative) (Lₙ)-lattice 
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Heleyová, Zuzana. Congruences on pseudocomplemented semilattices. Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 2, pp. 219-231. http://geodesic.mathdoc.fr/item/DMGAA_2000_20_2_a6/

[1] G. Grätzer, General Lattice Theory, Birkhäuser-Verlag, Basel 1978.

[2] M. Haviar and T. Katrinák, Semi-discrete lattices with (Ln)-congruence lattices, Contribution to General Algebra 7 (1991), 189-195.

[3] K.B. Lee, Equational classes of distributive pseudo-complemented lattices, Canad. J. Math. 22 (1970), 881-891.

[4] H.P. Sankappanavar, Congruence lattices of pseudocomplemented semilattices, Algebra Universalis 9 (1979), 304-316.

[5] H.P. Sankappanavar, On pseudocomplemented semilattices with Stone congruence lattices, Math. Slovaca 29 (1979), 381-395.

[6] H.P. Sankappanavar, On pseudocomplemented semilattices whose congruence lattices are distributive, (preprint).