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Factoring Ideals in Integral Domains

Factoring Ideals in Integral Domains by Marco Fontana
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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.
Springer Berlin Heidelberg; September 2012
169 pages; ISBN 9783642317125
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Title: Factoring Ideals in Integral Domains
Author: Marco Fontana; Evan Houston; Thomas Lucas