Factoring Ideals in Integral Domains

Download or read book Factoring Ideals in Integral Domains written by Marco Fontana and published by Springer Science & Business Media. This book was released on 2013 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.