Existence of prime ideals and ultrafilters in partially ordered sets
Abian, Alexander ; Amin, Wael A.
Czechoslovak Mathematical Journal, Tome 40 (1990), p. 159-163 / Harvested from Czech Digital Mathematics Library
Publié le : 1990-01-01
Classification:  06A10
@article{102367,
     author = {Alexander Abian and Wael A. Amin},
     title = {Existence of prime ideals and ultrafilters in partially ordered sets},
     journal = {Czechoslovak Mathematical Journal},
     volume = {40},
     year = {1990},
     pages = {159-163},
     zbl = {0706.06002},
     mrnumber = {1032366},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102367}
}
Abian, Alexander; Amin, Wael A. Existence of prime ideals and ultrafilters in partially ordered sets. Czechoslovak Mathematical Journal, Tome 40 (1990) pp. 159-163. http://gdmltest.u-ga.fr/item/102367/

Hungerford T. W. Algebra, Springer-Verlag, New York, 1974. (1974) | MR 0600654

Birkhoff G. Lattice Theory, AMS Colloquium Publications, Vol. 25. Amer. Math. Soc., Providence, 1979. (1979) | MR 0598630 | Zbl 0505.06001

Graetzer G. General Lattice Theory, Academic Press, New York, 1978. (1978) | MR 0509213

Bables R. A Representation Theory for Prime and Implicative Semilattices, Transactions of AMS 136 (1969), 261-267. (1969) | Article | MR 0233741

Schein B. M. On the Definition of Distributive Semilattices, Algebra Universalis 2 (1972), 1-2. (1972) | Article | MR 0304250

Markowski G. The Representation of Posets and Lattices by Sets, Algebra Universalis II (1980), 173-192. (1980) | MR 0588211