Factoring Ideals in Integral Domains

Marco Fontana,Evan Houston,Thomas Lucas

Factoring Ideals in Integral Domains
Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
15 September 2012
Pages
164
ISBN
9783642317118

Factoring Ideals in Integral Domains

Marco Fontana,Evan Houston,Thomas Lucas

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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. Prufer domains play a central role in our study, but many non-Prufer examples are considered as well.

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