RING DIVIDERS AND KRULL RINGS (A CONSTRUCTIVE APPROACH)

• 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.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

PvMD

Krull domains

ideal theory

multiplication domains

divisors

Constructive mathematics

Mathematics

Divisor theory

Publication and Content Type

art (subject category)

ref (subject category)