Construction of p o -groups with quasi-divisors theory

Jiří Močkoř

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 197-207
  • ISSN: 0011-4642

Abstract

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A method is presented making it possible to construct p o -groups with a strong theory of quasi-divisors of finite character and with some prescribed properties as subgroups of restricted Hahn groups H ( Δ , ℤ ) , where Δ are finitely atomic root systems. Some examples of these constructions are presented.

How to cite

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Močkoř, Jiří. "Construction of $po$-groups with quasi-divisors theory." Czechoslovak Mathematical Journal 50.1 (2000): 197-207. <http://eudml.org/doc/30554>.

@article{Močkoř2000,
abstract = {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.},
author = {Močkoř, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasi-divisor theory; divisor class group; quasi-divisor theory; divisor class group; partially ordered groups},
language = {eng},
number = {1},
pages = {197-207},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Construction of $po$-groups with quasi-divisors theory},
url = {http://eudml.org/doc/30554},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Močkoř, Jiří
TI - Construction of $po$-groups with quasi-divisors theory
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 197
EP - 207
AB - 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.
LA - eng
KW - quasi-divisor theory; divisor class group; quasi-divisor theory; divisor class group; partially ordered groups
UR - http://eudml.org/doc/30554
ER -

References

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