Construction of $po$-groups with quasi-divisors theory
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 197-207
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A method is presented making it possible to construct $po$-groups with a strong theory of quasi-divisors of finite character and with some prescribed properties as subgroups of restricted Hahn groups $H(\Delta ,\mathbb{Z})$, where $\Delta $ are finitely atomic root systems. Some examples of these constructions are presented.
Classification :
06F15, 13F05, 13F99, 13J25
Keywords: quasi-divisor theory; divisor class group
Keywords: quasi-divisor theory; divisor class group
@article{CMJ_2000__50_1_a20,
author = {Mo\v{c}ko\v{r}, Ji\v{r}{\'\i}},
title = {Construction of $po$-groups with quasi-divisors theory},
journal = {Czechoslovak Mathematical Journal},
pages = {197--207},
publisher = {mathdoc},
volume = {50},
number = {1},
year = {2000},
mrnumber = {1745472},
zbl = {1036.06009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_1_a20/}
}
Močkoř, Jiří. Construction of $po$-groups with quasi-divisors theory. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 197-207. http://geodesic.mathdoc.fr/item/CMJ_2000__50_1_a20/