The lattice of -subalgebras of a bounded distributive lattice
Commentationes Mathematicae Universitatis Carolinae (1984)
- Volume: 025, Issue: 1, page 1-17
- ISSN: 0010-2628
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topVrancken-Mawet, Luc. "The lattice of $R$-subalgebras of a bounded distributive lattice." Commentationes Mathematicae Universitatis Carolinae 025.1 (1984): 1-17. <http://eudml.org/doc/17294>.
@article{Vrancken1984,
author = {Vrancken-Mawet, Luc},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {distributive lattice; relative complements; R-subalgebras; congruence relations; Priestley dual; duality},
language = {eng},
number = {1},
pages = {1-17},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The lattice of $R$-subalgebras of a bounded distributive lattice},
url = {http://eudml.org/doc/17294},
volume = {025},
year = {1984},
}
TY - JOUR
AU - Vrancken-Mawet, Luc
TI - The lattice of $R$-subalgebras of a bounded distributive lattice
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 1
SP - 1
EP - 17
LA - eng
KW - distributive lattice; relative complements; R-subalgebras; congruence relations; Priestley dual; duality
UR - http://eudml.org/doc/17294
ER -
References
top- ADAMS M. E., The Frattini sublattice of a distributive lattice, Alg. Univ. vol. 3/2 (1973), 216-228. (1973) Zbl0288.06015MR0349510
- DAVEY B. A., Subdirectly irreducible distributive double p-algebras, Alg. Univ. vol. 8/1, 73-88. Zbl0381.06019MR0450160
- GRÄTZER G., General lattice theory, Birk. Verlag Basel und Stuttgart (1978). (1978) MR0504338
- HANSOUL G., VARLET J., Essential, strong and perfect extensions of lattices, Bull. Roy. Sci. Liège, 52 (1983), 22-24. (1983) Zbl0524.06015MR0720422
- MAYER R. D., PIERCE R. S., Boolean algebras with ordered bases, Pacific J. of Math. 10 (1960), 925-942. (1960) Zbl0097.02003MR0130842
- PRIESTLEY H. A., Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. 24 (1972), 507-530. (1972) Zbl0323.06011MR0300949
- PRIESTLEY H. A., Ordered sets and duality for distributive lattices, to appear in the Proc. of the conference on ordered sets and their applications, Lyon, 1982. (1982) MR0779844
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