Title:
|
Direct factors of multilattice groups. II. (English) |
Author:
|
Kolibiar, Milan |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
28 |
Issue:
|
1 |
Year:
|
1992 |
Pages:
|
83-84 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
Subgroups of a directed distributive multilattice group $G$ are characterized which are direct factors of $G$. The main result is formulated in Theorem 2. (English) |
Keyword:
|
partially ordered group |
Keyword:
|
multilattice group |
Keyword:
|
distributivity |
Keyword:
|
retract |
Keyword:
|
direct product |
MSC:
|
06F15 |
idZBL:
|
Zbl 0779.06012 |
idMR:
|
MR1201869 |
. |
Date available:
|
2008-06-06T21:04:57Z |
Last updated:
|
2012-05-10 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107439 |
. |
Related article:
|
http://dml.cz/handle/10338.dmlcz/107379 |
. |
Reference:
|
[1] Kolibiar M.: Direct factors of multilattice groups.Archivum Math. (Brno) 26 (1990), 121-128. Zbl 0728.06014, MR 1188271 |
Reference:
|
[2] Benado M.: Sur la théorie de la divisibilité.Bull. Sti. Sect. Sti. Mat. - Fiz. 6 (1954), Acad. R. P. Romîne, 263-270. Zbl 0057.25301, MR 0067089 |
Reference:
|
[3] McAlister D. B.: On multilattice groups.Proc. Cambridge Philos. Soc. 61 (1965), 621-638. Zbl 0135.06203, MR 0175819 |
Reference:
|
[4] Birkhoff G.: Lattice Theory.Amer. Math. Soc. Colloquium . XXV (1948), Publ. revised edition,, New York. Zbl 0033.10103, MR 0029876 |
. |