Band 14
Factoring Ideals in Integral Domains
Aus der Reihe
Lecture Notes of the Unione Matematica Italiana
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- Taschenbuch ausgewählt
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Sprache:Englisch
51,99 €
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
15.09.2012
Verlag
Springer BerlinSeitenzahl
164
Maße (L/B/H)
23,5/15,5/1 cm
Gewicht
277 g
Auflage
2013
Sprache
Englisch
ISBN
978-3-642-31711-8
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.
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.
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