Geodesic
Lexicographic products of half linearly ordered groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 127-138

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The notion of the half linearly ordered group (and, more generally, of the half lattice ordered group) was introduced by Giraudet and Lucas [2]. In the present paper we define the lexicographic product of half linearly ordered groups. This definition includes as a particular case the lexicographic product of linearly ordered groups. We investigate the problem of the existence of isomorphic refinements of two lexicographic product decompositions of a half linearly ordered group. The analogous problem for linearly ordered groups was dealt with by Maltsev [5]; his result was generalized by Fuchs [1] and the author [3]. The isomorphic refinements of small direct product decompositions of half lattice ordered groups were studied in [4].
Classification : 06F15
Keywords: half linearly ordered group; lexicographic product; isomorphic refinements 
@article{CMJ_2001__51_1_a11,
     author = {Jakub{\'\i}k, J\'an},
     title = {Lexicographic products of half linearly ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {127--138},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2001},
     mrnumber = {1814638},
     zbl = {1079.06504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a11/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Lexicographic products of half linearly ordered groups
JO  - Czechoslovak Mathematical Journal
PY  - 2001
SP  - 127
EP  - 138
VL  - 51
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a11/
LA  - en
ID  - CMJ_2001__51_1_a11
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Lexicographic products of half linearly ordered groups
%J Czechoslovak Mathematical Journal
%D 2001
%P 127-138
%V 51
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a11/
%G en
%F CMJ_2001__51_1_a11
Jakubík, Ján. Lexicographic products of half linearly ordered groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 127-138. http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a11/