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Factoring Ideals in Integral Domains: 14 (Lecture Notes of by Marco Fontana,Evan Houston,Thomas Lucas

By Marco Fontana,Evan Houston,Thomas Lucas

This quantity presents a wide-ranging survey of, and lots of new effects on, a variety of vital types
of excellent factorization actively investigated by way of numerous authors lately. Examples of domain names studied contain (1) people with vulnerable factorization, within which each one nonzero, nondivisorial excellent could be factored because the manufactured from its divisorial closure and a made of maximal beliefs and (2) people with pseudo-Dedekind factorization, within which every one nonzero, noninvertible perfect should be factored because the manufactured from an invertible excellent with a manufactured from pairwise comaximal leading beliefs. Prüfer domain names play a primary position in our examine, yet many non-Prüfer examples are regarded as well.

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