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Factoring Ideals in Integral Domains

Marco Fontana, Evan Houston, Thomas Lucas, et al.

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Springer Berlin img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

Beschreibung

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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Schlagwörter

trace property, Dedekind domain, ideal factorization, 13AXX, 13CXX, 13GXX, 14A05, 11AXX, h-local domain