Geodesic
A simple characterization of principal ideal domains
Acta Arithmetica, Tome 64 (1993) no. 2, pp. 125-128
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

1. Introduction. In this note we give necessary and sufficient conditions for an integral domain to be a principal ideal domain. Curiously, these conditions are similar to those that characterize Euclidean domains. In Section 2 we establish notation, discuss related results and prove our theorem. Finally, in Section 3 we give two nontrivial applications to real quadratic number fields. 
@article{10_4064_aa_64_2_125_128,
     author = {Clifford Queen},
     title = {A simple characterization of principal ideal domains},
     journal = {Acta Arithmetica},
     pages = {125--128},
     year = {1993},
     volume = {64},
     number = {2},
     doi = {10.4064/aa-64-2-125-128},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa-64-2-125-128/}
}
TY  - JOUR
AU  - Clifford Queen
TI  - A simple characterization of principal ideal domains
JO  - Acta Arithmetica
PY  - 1993
SP  - 125
EP  - 128
VL  - 64
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa-64-2-125-128/
DO  - 10.4064/aa-64-2-125-128
LA  - en
ID  - 10_4064_aa_64_2_125_128
ER  - 
%0 Journal Article
%A Clifford Queen
%T A simple characterization of principal ideal domains
%J Acta Arithmetica
%D 1993
%P 125-128
%V 64
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/aa-64-2-125-128/
%R 10.4064/aa-64-2-125-128
%G en
%F 10_4064_aa_64_2_125_128
Clifford Queen. A simple characterization of principal ideal domains. Acta Arithmetica, Tome 64 (1993) no. 2, pp. 125-128. doi: 10.4064/aa-64-2-125-128

Cité par Sources :