Title:
|
Existence of prime ideals and ultrafilters in partially ordered sets (English) |
Author:
|
Abian, Alexander |
Author:
|
Amin, Wael A. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
40 |
Issue:
|
1 |
Year:
|
1990 |
Pages:
|
159-163 |
. |
Category:
|
math |
. |
MSC:
|
06A10 |
idZBL:
|
Zbl 0706.06002 |
idMR:
|
MR1032366 |
DOI:
|
10.21136/CMJ.1990.102367 |
. |
Date available:
|
2008-06-09T15:31:53Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102367 |
. |
Reference:
|
[1] Hungerford T. W.: Algebra.Springer-Verlag, New York, 1974. MR 0600654 |
Reference:
|
[2] Birkhoff G.: Lattice Theory.AMS Colloquium Publications, Vol. 25. Amer. Math. Soc., Providence, 1979. Zbl 0505.06001, MR 0598630 |
Reference:
|
[3] Graetzer G.: General Lattice Theory.Academic Press, New York, 1978. MR 0509213 |
Reference:
|
[4] Bables R.: A Representation Theory for Prime and Implicative Semilattices.Transactions of AMS 136 (1969), 261-267. MR 0233741, 10.1090/S0002-9947-1969-0233741-7 |
Reference:
|
[5] Schein B. M.: On the Definition of Distributive Semilattices.Algebra Universalis 2 (1972), 1-2. MR 0304250, 10.1007/BF02945000 |
Reference:
|
[6] Markowski G.: The Representation of Posets and Lattices by Sets.Algebra Universalis II (1980), 173-192. MR 0588211 |
. |