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RING DIVIDERS AND KRULL RINGS (A CONSTRUCTIVE APPROACH)

Journal article
Authors Thierry Coquand
H. Lombardi
Published in Communications in Algebra
Volume 44
Issue 2
Pages 515-567
ISSN 0092-7872
Publication year 2016
Published at Department of Computer Science and Engineering (GU)
Pages 515-567
Language fr
Links dx.doi.org/10.1080/00927872.2014.97...
Keywords Constructive mathematics, Divisor theory, Krull domains, PvMD, multiplication domains, ideal theory, divisors, Mathematics
Subject categories Mathematics

Abstract

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.

Page Manager: Webmaster|Last update: 9/11/2012
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