The subalgebra lattice of a Heyting algebra

Luc Vrancken-Mawet; Georges Hansoul

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 1, page 34-41
  • ISSN: 0011-4642

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Vrancken-Mawet, Luc, and Hansoul, Georges. "The subalgebra lattice of a Heyting algebra." Czechoslovak Mathematical Journal 37.1 (1987): 34-41. <http://eudml.org/doc/13618>.

@article{Vrancken1987,
author = {Vrancken-Mawet, Luc, Hansoul, Georges},
journal = {Czechoslovak Mathematical Journal},
keywords = {upper semimodular; Stone algebra; Heyting algebras; subalgebra lattice},
language = {eng},
number = {1},
pages = {34-41},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The subalgebra lattice of a Heyting algebra},
url = {http://eudml.org/doc/13618},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Vrancken-Mawet, Luc
AU - Hansoul, Georges
TI - The subalgebra lattice of a Heyting algebra
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 1
SP - 34
EP - 41
LA - eng
KW - upper semimodular; Stone algebra; Heyting algebras; subalgebra lattice
UR - http://eudml.org/doc/13618
ER -

References

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  1. Adams M. E., 10.1007/BF02945121, Alg. Univ. 3 (1973), 216-228. (1973) Zbl0288.06015MR0349510DOI10.1007/BF02945121
  2. Birkhoff G., Lattice theory, third edition, Amer. Math. Soc. Coll. Publ., vol. 25, Providence (1967). (1967) Zbl0153.02501MR0227053
  3. Hansoul G., Systèmes relationnels et algèbres multiformes, Thèse de Doctorat, Liège (1980). (1980) 
  4. Mayer R. D., Pierce R. S., 10.2140/pjm.1960.10.925, Pacific J. of Math., 10 (1960), 925-942. (1960) Zbl0097.02003MR0130842DOI10.2140/pjm.1960.10.925
  5. Priestley H. A., Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. 24 (1972), 507-530. (1972) Zbl0323.06011MR0300949
  6. Priestley H. A., 10.4064/fm-84-2-127-143, Fund. Math., 84 (1974), 127-143. (1974) Zbl0323.06012MR0340136DOI10.4064/fm-84-2-127-143
  7. Vrancken-Mawet L., Le lattis des sous-algèbres d'une algèbre de Heyting finie, Bull. Soc. Roy. Sci. Liège, 51, 1-2 (1982), 82-94. (1982) Zbl0488.06006MR0666615

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