| Title:
|
Unions of uniquely complemented lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
147-152 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we generalize a result of V. N. Salij concerning direct product decompositions of lattices which are complete and uniquely complemented. (English) |
| Keyword:
|
uniquely complemented lattice |
| Keyword:
|
generalized Boolean algebra |
| Keyword:
|
direct product |
| MSC:
|
06B05 |
| MSC:
|
06C15 |
| idZBL:
|
Zbl 0890.06005 |
| idMR:
|
MR1460944 |
| DOI:
|
10.21136/MB.1997.125921 |
| . |
| Date available:
|
2009-09-24T21:24:16Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125921 |
| . |
| Reference:
|
[1] Dilworth R. P.: Lattices with unique complements.Trans. Amer. Math. Soc. 57 (1945) 123-154. Zbl 0060.06103, MR 0012263, 10.1090/S0002-9947-1945-0012263-6 |
| Reference:
|
[2] Salij V. N.: On complete lattices with unique complements.XIII All-Union Algebraic Conference, Abstracts of lectures and reports. Gomel, 1975, pp. 191-192. (In Russian.) |
| Reference:
|
[3] Salij V. N.: Regular elements in complete uniquely complemented lattices.Universal algebra and applications, Banach Center Publ. Vol. 9. Warsaw, 1982, pp. 15-19. Zbl 0511.06005, MR 0738797, 10.4064/-9-1-15-19 |
| . |
