| Title:
|
Pseudocomplemented ordered sets (English) |
| Author:
|
Halaš, Radomír |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
29 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
153-160 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordered sets and to prove some basic results holding for pseudocomplemented ordered sets. (English) |
| Keyword:
|
pseudocomplemented |
| Keyword:
|
(w)- distributive |
| Keyword:
|
modular |
| Keyword:
|
complemented ordered set |
| MSC:
|
06A06 |
| MSC:
|
06A99 |
| idZBL:
|
Zbl 0801.06007 |
| idMR:
|
MR1263116 |
| . |
| Date available:
|
2008-06-06T21:24:29Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107477 |
| . |
| Reference:
|
[1] Katriňák, T.: Pseudokomplementäre Halbverbände.Mat. čas. SAV 18, 121-143. MR 0262123 |
| Reference:
|
[2] Rachůnek, J., Chajda, I.: Forbidden configurations for distributive and modular ordered sets.Order 5 (1989), 407-423. MR 1010389 |
| Reference:
|
[3] Chajda, I.: Complemented ordered sets.Arch. Math. (Brno) 28 (1992), 25-34. Zbl 0785.06002, MR 1201863 |
| Reference:
|
[4] Rachůnek, J., Larmerová, J.: Translations of modular and distributive ordered sets.Acta Univ. Palacký (Olomouc) 91 (1988), 13-23. |
| Reference:
|
[5] Grätzer, G.: General lattice theory.Moscow, 1982. |
| . |
