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Factoring Ideals in Integral Domains

Factoring Ideals in Integral Domains

von Evan Houston, Marco Fontana und Thomas Lucas
Softcover - 9783642317118
53,49 €
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Beschreibung

This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years. Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and a product of maximal ideals and (2) those with pseudo-Dedekind factorization, in which each nonzero, noninvertible ideal can be factored as the product of an invertible ideal with a product of pairwise comaximal prime ideals. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.

Details

Verlag Springer Berlin
Ersterscheinung 15. September 2012
Maße 23.5 cm x 15.5 cm
Gewicht 277 Gramm
Format Softcover
ISBN-13 9783642317118
Seiten 164

Schlagwörter

Algebra, Algebraic Geometry, Algebraische Geometrie, Commutative Rings and Algebras, Number Theory, Zahlentheorie

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