On Priestley duals of products

V. Koubek; J. Sichler

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1991)

  • Volume: 32, Issue: 3, page 243-256
  • ISSN: 1245-530X

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Koubek, V., and Sichler, J.. "On Priestley duals of products." Cahiers de Topologie et Géométrie Différentielle Catégoriques 32.3 (1991): 243-256. <http://eudml.org/doc/91481>.

@article{Koubek1991,
author = {Koubek, V., Sichler, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Cartesian products; bounded, distributive lattices; topological sum; Stone-Čech compactification; Priestley compactification; direct products; ultraproducts; double -algebras},
language = {eng},
number = {3},
pages = {243-256},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On Priestley duals of products},
url = {http://eudml.org/doc/91481},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Koubek, V.
AU - Sichler, J.
TI - On Priestley duals of products
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1991
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 32
IS - 3
SP - 243
EP - 256
LA - eng
KW - Cartesian products; bounded, distributive lattices; topological sum; Stone-Čech compactification; Priestley compactification; direct products; ultraproducts; double -algebras
UR - http://eudml.org/doc/91481
ER -

References

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  1. 1 M.E. Adams and R. Beazer, Congruence propertiea of distributive double p-algebras, to appear in Czechoslovak Math. J. Zbl0758.06008MR1105437
  2. 2 M.E. Adams and R. Beazer, Distributive lattices having n-permutable congruences, to appear in Proc. Amer. Math. Soc. Zbl0739.06006MR1057741
  3. 3 R. Beazer, Distributive p-algebras and double p-algebras having n-permutable congruencea, to appear in Proc. Edinburgh Math. Soc. Zbl0741.06008MR1169248
  4. 4 B.A. Davey, Subdirectly irreducible distributive double p-algebras, Algebra Universalis8 (1978), 73-88. Zbl0381.06019MR450160
  5. 5 B.A. Davey and D. Duffus, Exponentiation and duality, in "Ordered Sets," D. Reidel, Dordrecht, 1982, pp. 43-96. Zbl0509.06001MR661291
  6. 6 G. Gratzer, "Lattice Theory: First Concepts and Distributive Lattices," Freeman, San Francisco, California, 1971. Zbl0232.06001MR321817
  7. 7 J. Hashimoto, Ideal theory of lattices, Math. Japon.2 (1952), 149-186. Zbl0048.25903MR57224
  8. 8 V. Koubek and J. Sichler, Amalgamation in varieties of distributive double p-algebraa, preprint. Zbl0821.06008MR1300481
  9. 9 H.A. Priestley, Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc.2 (1970), 186-190. Zbl0201.01802MR265242
  10. 10 H.A. Priestley, Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc.24 (1972), 507-530. Zbl0323.06011MR300949
  11. 11 H.A. Priestley, Ordered sets and duality for distributive lattices, Ann. Discrete Math.23 (1984), 36-90. Zbl0557.06007MR779844

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