Star-invertible ideals of integral domains

Chang, Gyu Whan; Park, Jeanam

Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 141-150 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

Let $*$ be a star-operation on $R$ and $*_{s}$ the finite character star-operation induced by $*$ . The purpose of this paper is to study when $* = v$ or $*_{s} = t$ . In particular, we prove that if every prime ideal of $R$ is $*$ -invertible, then $* = v$ , and that if $R$ is a unique $*$ -factorable domain, then $R$ is a Krull domain.

Sia $*$ uno star-operatore su $R$ e $*_{s}$ lo star-operatore di carattere finito indotto da $*$ . Lo scopo di questo lavoro è studiare quando $* = v$ o $*_{s} = t$ . In particolare, proviamo che se ogni ideale primo di $R$ è $*$ -invertibile, allora $* = v$ e che se $R$ è un dominio a $*$ -fattorizzazione unica, allora $R$ è un dominio di Krull.

Publié le : 2003-02-01

MR 1955701 | Zbl 1177.13006

@article{BUMI_2003_8_6B_1_141_0,
     author = {Gyu Whan Chang and Jeanam Park},
     title = {Star-invertible ideals of integral domains},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {141-150},
     zbl = {1177.13006},
     mrnumber = {1955701},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_1_141_0}
}

Chang, Gyu Whan; Park, Jeanam. Star-invertible ideals of integral domains. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 141-150. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_1_141_0/

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