Factoring Ideals In Integral Domains

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    Factoring Ideals in Integral Domains
    By: Marco Fontana; Evan Houston; Thomas Lucas
    Publisher:
    Springer
    Print ISBN: 9783642317118, 3642317111
    eText ISBN: 9783642317125, 364231712X
    Copyright year: 2013
    Format: EPUB
    Available from $ 74.99 USD
    SKU 9783642317125
    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.
     

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