Congruence representations of join-homomorphisms of distributive lattices: a short proof
George Grätzer; Harry Lakser; E. Tamás Schmidt
Mathematica Slovaca (1996)
- Volume: 46, Issue: 4, page 363-369
- ISSN: 0139-9918
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topGrätzer, George, Lakser, Harry, and Schmidt, E. Tamás. "Congruence representations of join-homomorphisms of distributive lattices: a short proof." Mathematica Slovaca 46.4 (1996): 363-369. <http://eudml.org/doc/31965>.
@article{Grätzer1996,
author = {Grätzer, George, Lakser, Harry, Schmidt, E. Tamás},
journal = {Mathematica Slovaca},
keywords = {finite lattice; congruence lattice; finite distributive lattice; join homomorphism},
language = {eng},
number = {4},
pages = {363-369},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Congruence representations of join-homomorphisms of distributive lattices: a short proof},
url = {http://eudml.org/doc/31965},
volume = {46},
year = {1996},
}
TY - JOUR
AU - Grätzer, George
AU - Lakser, Harry
AU - Schmidt, E. Tamás
TI - Congruence representations of join-homomorphisms of distributive lattices: a short proof
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 4
SP - 363
EP - 369
LA - eng
KW - finite lattice; congruence lattice; finite distributive lattice; join homomorphism
UR - http://eudml.org/doc/31965
ER -
References
top- GRÄTZER G., General Lattice Theory, Pure and Applied Mathematics Series, Academic Press, New York, 1978; Mathematische Reihe, Band 52, Birkhäuser Verlag. Basel; Akademie Verlag, Berlin. (1978) MR0509213
- GRÄTZER G.-LAKSER H., Homomorphisms of distributive lattices as restrictions of congruences, Canad. J. Math. 38 (1986), 1122-1134. (1986) Zbl0597.06007MR0869717
- GRÄTZER G.-LAKSER H.-SCHMIDT E. T., Isotone maps as maps of congruences. I, Manuscript. Zbl0921.06008
- GRÄTZER G.-SCHMIDT E. T., On congruence lattices of lattices, Acta Math. Acad. Sci. Hungar. 13 (1962), 179-185. (1962) Zbl0101.02103MR0139551
- HUHN A. P., On the representation of distributive algebraic lattices, Acta Sci. Math. (Szeged) 45 (1983), 239-246. (1983) Zbl0533.06004MR0708789
- HUHN A. P., On the representation of distributive algebraic lattices. II, Acta Sci. Math. (Szeged) 53 (1989), 3-10. (1989) Zbl0684.06009MR1018668
- TISCHENDORF M., The Representation Problem for Algebraic Distributive Lattices, Fachbereich Mathematik der Тechnischen Hochschule Darmstadt, Darmstadt, 1992. (1992)
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