Geodesic
Ideal class (semi)groups and atomicity in Prüfer domains
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 891-900.

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

We explore the connection between atomicity in Prüfer domains and their corresponding class groups. We observe that a class group of infinite order is necessary for non-Noetherian almost Dedekind and Prüfer domains of finite character to be atomic. We construct a non-Noetherian almost Dedekind domain and exhibit a generating set for the ideal class semigroup.
DOI : 10.21136/CMJ.2020.0136-20
Classification : 13A50, 13F15
Keywords: Prüfer domain; factorization 
@article{10_21136_CMJ_2020_0136_20,
     author = {Hasenauer, Richard Erwin},
     title = {Ideal class (semi)groups and atomicity in {Pr\"ufer} domains},
     journal = {Czechoslovak Mathematical Journal},
     pages = {891--900},
     publisher = {mathdoc},
     volume = {71},
     number = {3},
     year = {2021},
     doi = {10.21136/CMJ.2020.0136-20},
     mrnumber = {4295253},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0136-20/}
}
TY  - JOUR
AU  - Hasenauer, Richard Erwin
TI  - Ideal class (semi)groups and atomicity in Prüfer domains
JO  - Czechoslovak Mathematical Journal
PY  - 2021
SP  - 891
EP  - 900
VL  - 71
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0136-20/
DO  - 10.21136/CMJ.2020.0136-20
LA  - en
ID  - 10_21136_CMJ_2020_0136_20
ER  - 
%0 Journal Article
%A Hasenauer, Richard Erwin
%T Ideal class (semi)groups and atomicity in Prüfer domains
%J Czechoslovak Mathematical Journal
%D 2021
%P 891-900
%V 71
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0136-20/
%R 10.21136/CMJ.2020.0136-20
%G en
%F 10_21136_CMJ_2020_0136_20
Hasenauer, Richard Erwin. Ideal class (semi)groups and atomicity in Prüfer domains. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 891-900. doi : 10.21136/CMJ.2020.0136-20. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0136-20/

Cité par Sources :