Existence of prime ideals and ultrafilters in partially ordered sets

Alexander Abian; Wael A. Amin

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 1, page 159-163
  • ISSN: 0011-4642

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Abian, Alexander, and Amin, Wael A.. "Existence of prime ideals and ultrafilters in partially ordered sets." Czechoslovak Mathematical Journal 40.1 (1990): 159-163. <http://eudml.org/doc/13838>.

@article{Abian1990,
author = {Abian, Alexander, Amin, Wael A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {prime ideal; filter; ultrafilter},
language = {eng},
number = {1},
pages = {159-163},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of prime ideals and ultrafilters in partially ordered sets},
url = {http://eudml.org/doc/13838},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Abian, Alexander
AU - Amin, Wael A.
TI - Existence of prime ideals and ultrafilters in partially ordered sets
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 1
SP - 159
EP - 163
LA - eng
KW - prime ideal; filter; ultrafilter
UR - http://eudml.org/doc/13838
ER -

References

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  1. Hungerford T. W., Algebra, Springer-Verlag, New York, 1974. (1974) Zbl0293.12001MR0600654
  2. Birkhoff G., Lattice Theory, AMS Colloquium Publications, Vol. 25. Amer. Math. Soc., Providence, 1979. (1979) Zbl0505.06001MR0598630
  3. Graetzer G., General Lattice Theory, Academic Press, New York, 1978. (1978) MR0509213
  4. Bables R., 10.1090/S0002-9947-1969-0233741-7, Transactions of AMS 136 (1969), 261-267. (1969) MR0233741DOI10.1090/S0002-9947-1969-0233741-7
  5. Schein B. M., 10.1007/BF02945000, Algebra Universalis 2 (1972), 1-2. (1972) Zbl0248.06006MR0304250DOI10.1007/BF02945000
  6. Markowski G., The Representation of Posets and Lattices by Sets, Algebra Universalis II (1980), 173-192. (1980) MR0588211

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