Finitely generated universal varieties of distributive double p -algebras

V. Koubek; J. Sichler

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1994)

  • Volume: 35, Issue: 2, page 139-164
  • ISSN: 1245-530X

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Koubek, V., and Sichler, J.. "Finitely generated universal varieties of distributive double $p$-algebras." Cahiers de Topologie et Géométrie Différentielle Catégoriques 35.2 (1994): 139-164. <http://eudml.org/doc/91540>.

@article{Koubek1994,
author = {Koubek, V., Sichler, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {universal varieties; Priestley duality; distributive double -algebras; finitely generated varieties},
language = {eng},
number = {2},
pages = {139-164},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Finitely generated universal varieties of distributive double $p$-algebras},
url = {http://eudml.org/doc/91540},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Koubek, V.
AU - Sichler, J.
TI - Finitely generated universal varieties of distributive double $p$-algebras
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1994
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 35
IS - 2
SP - 139
EP - 164
LA - eng
KW - universal varieties; Priestley duality; distributive double -algebras; finitely generated varieties
UR - http://eudml.org/doc/91540
ER -

References

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  1. 1 R. Beazer, The determination congruence on double p-algebras, Algebra Universalis6 (1976), 121-129. Zbl0353.06002MR419319
  2. 2 ____, Congruence uniform algebras with pseudocomplementation, Studia Sci. Math. Hungar. (1985), 43-48. Zbl0523.06016MR886003
  3. 3 B. Davey, Subdirectly irreducible distributive double p-algebras, Algebra Universalis8 (1978), 73-88. Zbl0381.06019MR450160
  4. 4 G. Grätzer, Lattice Theory, First Concepts and Distributive Lattices, H. Freeman, San Francisco, 1971. Zbl0232.06001MR321817
  5. 5 V. Koubek, Infinite image homomorphisms of distributive bounded lattices, Lectures in universal algebra, Szeged (Hungary) 1983, North-Holland, Amsterdam, 1985, pp. 241-281, in Colloq. Math. Soc. János Bolyai43. Zbl0597.06009MR860268
  6. 6 V. Koubek and J. Sichler, Universal varieties of distributive double p-algebras, Glasgow Math. J.26 (1985), 121-131. Zbl0574.06009MR798738
  7. 7 ____, Categorical universality of regular double p-algebras, Glasgow Math. J.32 (1990), 329-340. Zbl0714.18002MR1073673
  8. 8 R. McKenzie and J.D. Monk,, On automorphism groups of Boolean algebras, Infinite and finite sets, Keszthely (Hungary) 1973; dedicated to P. Erdös on his 60th birthday, Vol. 2, North-Holland, Amsterdam, 1975, pp. 951-988, in Colloq. Math. Soc. János Bolyai10. Zbl0317.06009MR376476
  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 ____, Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc.24 (1972), 507-530. Zbl0323.06011MR300949
  11. 11 ____, Ordered sets and duality for distributive lattices, Ann. Discrete Math.23 (1984), 36-90. Zbl0557.06007
  12. 12 A. Pultr and V. Trnková, Combinatorial, algebraic and topological representations of groups, semigroups and categories, North-Holland, Amsterdam, 1980. Zbl0418.18004MR563525

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