| Title:
|
Directly indecomposable direct factors of a lattice (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
281-292 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we generalize a result of Libkin concerning direct product decompositions of lattices. (English) |
| Keyword:
|
direct product of lattices |
| Keyword:
|
algebraic lattice |
| Keyword:
|
strictly irreducible element |
| Keyword:
|
conditional completeness |
| Keyword:
|
strictly join-irreducible elements |
| MSC:
|
06B05 |
| idZBL:
|
Zbl 0879.06002 |
| idMR:
|
MR1419882 |
| DOI:
|
10.21136/MB.1996.125983 |
| . |
| Date available:
|
2009-09-24T21:19:44Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125983 |
| . |
| Reference:
|
[1] G. Grätzer: General Lattice Theory.Birkhäuser Verlag, Basel, 1978. MR 0504338 |
| Reference:
|
[2] J. Hashimoto: On direct product decompositions of partially ordered sets.Ann. of Math. 54 (1951), 315-318. MR 0043067, 10.2307/1969532 |
| Reference:
|
[3] J. Jakubík: Weak product decompositions of discrete lattices.Czechoslovak Math. J. 21 (1971), 399-412. MR 0286723 |
| Reference:
|
[4] J. Jakubík: Weak product decompositions of partially ordered sets.Colloq. Math. 25 (1972), 177-190. MR 0329977, 10.4064/cm-25-2-177-190 |
| Reference:
|
[5] L. Libkin: Direct decompositions of atomistic algebraic lattices.Algebra Universalis 33 (1995), 127-135. Zbl 0818.06004, MR 1303635, 10.1007/BF01190769 |
| Reference:
|
[6] G. Richter: On the structure of lattices in which every element is a join of join-irreducible elements.Period. Math. Hungar. 13 (1982), 47-69. Zbl 0484.06008, MR 0652890, 10.1007/BF01848096 |
| . |
