Factoring Ideals in Integral Domains

• Κύριοι συγγραφείς: Fontana, Marco (Συγγραφέας), Houston, Evan (Συγγραφέας), Lucas, Thomas (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Lecture Notes of the Unione Matematica Italiana, 14
• Θέματα: Mathematics.; Algebra.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Number theory.; Commutative Rings and Algebras.; Algebraic Geometry.; Number Theory.
• Φυσική περιγραφή: VIII, 164 p. online resource.
• ISBN: 9783642317125
• ISSN: 1862-9113 ;

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.