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Factoring Ideals in Integral Domains
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Artikel-Nr:
9783642317125
Veröffentl:
2012
Einband:
eBook
Seiten:
164
Autor:
Marco Fontana
Serie:
14, Lecture Notes of the Unione Matematica Italiana
eBook Typ:
PDF
eBook Format:
Reflowable eBook
Kopierschutz:
NO DRM
Sprache:
Englisch
Beschreibung:
This volume provides a wide-ranging survey of, and many new results on, various important typesof 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. Prfer domains play a central role in our study, but many non-Prfer examples are considered as well.
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.