| Title:
|
Atomicity of the Boolean algebra of direct factors of a directed set (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
123 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
145-161 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper we deal with the relations between direct product decompositions of a directed set $L$ and direct product decompositions of intervals of $L$. (English) |
| Keyword:
|
Boolean algebras |
| Keyword:
|
structure theory |
| Keyword:
|
directed set |
| Keyword:
|
direct product decomposition |
| Keyword:
|
atomicity |
| MSC:
|
06A06 |
| MSC:
|
06E05 |
| idZBL:
|
Zbl 0938.06011 |
| idMR:
|
MR1673985 |
| DOI:
|
10.21136/MB.1998.126304 |
| . |
| Date available:
|
2009-09-24T21:30:30Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126304 |
| . |
| Reference:
|
[1] J. Hashimoto: On direct product decompositions of partially ordered sets.Ann. of Math. 54 (1951), 315-318. MR 0043067, 10.2307/1969532 |
| 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.Colloq. 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 M. Csontóová: Convex isomorphisms of directed multilattices.Math. Bohem. 118 (1993), 359-379. MR 1251882 |
| Reference:
|
[6] L. Libkin: Direct decompositions of atomistic algebraic lattices.Algebra Univ. 33 (1995), 127-135. Zbl 0818.06004, MR 1303635, 10.1007/BF01190769 |
| . |
