Factoring Ideals in Integral Domains PDF
by Marco Fontana, Evan Houston, Thomas Lucas
Part of the Lecture Notes of the Unione Matematica Italiana series
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Description
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. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/09/2012
- Category:
- ISBN:9783642317125
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/09/2012
- Category:
- ISBN:9783642317125
