| Title:
|
Completely subdirect products of directed sets (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
71-81 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with directly indecomposable direct factors of a directed set. (English) |
| Keyword:
|
directed set |
| Keyword:
|
directed group |
| Keyword:
|
directly indecomposable direct factor |
| Keyword:
|
completely subdirect product |
| MSC:
|
06A06 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0999.06002 |
| idMR:
|
MR1895248 |
| DOI:
|
10.21136/MB.2002.133986 |
| . |
| Date available:
|
2009-09-24T21:58:12Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133986 |
| . |
| Reference:
|
[1] J. Jakubík: Direct decompositions of partially ordered groups.Czechoslovak Math. J. 10 (1960), 231–243. (Russian) |
| Reference:
|
[2] J. Jakubík: Weak product decompositions of discrete lattices.Czechoslovak Math. J. 21 (1971), 399–412. MR 0286723 |
| Reference:
|
[3] J. Jakubík: Weak product decompositions of partially ordered sets.Colloquium Math. 25 (1972), 177–190. MR 0329977, 10.4064/cm-25-2-177-190 |
| Reference:
|
[4] J. Jakubík: Directly indecomposable direct factors of a lattice.Math. Bohem. 121 (1996), 281–292. MR 1419882 |
| Reference:
|
[5] J. Jakubík: Atomicity of the Boolean algebra of direct factors of a directed set.Math. Bohem. 132 (1998), 145–162. MR 1673985 |
| Reference:
|
[6] L. Libkin: Direct decompositions of atomistic algebraic lattices.Algebra Univ. 33 (1995), 127–135. Zbl 0818.06004, MR 1303635, 10.1007/BF01190769 |
| Reference:
|
[7] F. Šik: Über subdirekte Summen geordneter Gruppen.Czechoslovak Math. J. 10 (1960), 400–424. MR 0123626 |
| . |