| Title:
|
On constructing a distributive lattice from a partially ordered set with DCC (English) |
| Author:
|
Smith, David A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
9 |
| Issue:
|
4 |
| Year:
|
1968 |
| Pages:
|
515-525 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06-20 |
| MSC:
|
06Dxx |
| idZBL:
|
Zbl 0172.01702 |
| idMR:
|
MR0242729 |
| . |
| Date available:
|
2008-06-05T20:28:47Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105195 |
| . |
| Reference:
|
[1] Garrett BIRKHOFF: Lattice Theory.Second Ed., American Mathematical Society (Colloquium Publications, No. 25), 1958. |
| Reference:
|
[2] Garrett BIRKHOFF: Lattice Theory.Third Ed., same publisher, 1967. MR 0227053 |
| Reference:
|
[3] Truman BOTTS: On lattice embeddings for partially ordered sets.Canad. J. Math. 6 (1954), 525-528. MR 0067957 |
| Reference:
|
[4] R. P. DILWORTH, Peter CRAWLEY: Decomposition theory for lattices without chain conditions.Trans. Amer. Math. Soc. 96 (1960), 1-22. MR 0118690 |
| Reference:
|
[5] Orin FRINK: Ideals in partially ordered sets.Amer. Math. Monthly 61 (1954), 223-234. MR 0061575 |
| Reference:
|
[6] H. M. MacNEILLE: Partially ordered sets.Trans. Amer. Math. Soc. 42 (1937), 416-460. Zbl 0017.33904, MR 1501929 |
| Reference:
|
[7] D. A. SMITH: Incidence functions as generalized arithmetic functions, II..Duke Math. J., to appear. Zbl 0186.02003 |
| . |
