RING DIVIDERS AND KRULL RINGS (A CONSTRUCTIVE APPROACH)

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TitreRING DIVIDERS AND KRULL RINGS (A CONSTRUCTIVE APPROACH)
Type de publicationJournal Article
Year of Publication2016
AuteursCoquand T., Lombardi H.
JournalCOMMUNICATIONS IN ALGEBRA
Volume44
Pagination515-567
Type of ArticleArticle
ISSN0092-7872
Mots-clésConstructive mathematics, Divisor theory, Krull domains, PvMD
Résumé

We give give an elementary and constructive version of the theory of ``Prufer vMultiplication Domains'' (which we call `` anneaux a diseurs'' in the article) and Krull Domains. The main results of these theories are revisited from a constructive point of view, following the Bishop style, and without assuming properties of complete factorizations.

DOI10.1080/00927872.2014.975346