Download E-books Factoring Ideals in Integral Domains (Lecture Notes of the Unione Matematica Italiana) PDF

By Marco Fontana

This quantity presents a wide-ranging survey of, and plenty of new effects on, numerous vital varieties of perfect factorization actively investigated by way of numerous authors in recent times. Examples of domain names studied contain (1) people with vulnerable factorization, within which each one nonzero, nondivisorial perfect might be factored because the made of its divisorial closure and a fabricated from maximal beliefs and (2) people with pseudo-Dedekind factorization, during which every one nonzero, noninvertible perfect may be factored because the fabricated from an invertible excellent with a made from pairwise comaximal best beliefs. Prüfer domain names play a important function in our research, yet many non-Prüfer examples are regarded as good.

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