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Factoring Ideals in Integral Domains
Taschenbuch von Marco Fontana (u. a.)
Sprache: Englisch

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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.
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.
Zusammenfassung

Latest developments in the theory of ideal factorizations - not included in any other recent books Particularly useful to young researchers in commutative algebra Emphasizes historical development of the subject

Includes supplementary material: [...]

Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes of the Unione Matematica Italiana
Inhalt: viii
164 S.
ISBN-13: 9783642317118
ISBN-10: 3642317111
Sprache: Englisch
Herstellernummer: 86130014
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Fontana, Marco
Lucas, Thomas
Houston, Evan
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes of the Unione Matematica Italiana
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 10 mm
Von/Mit: Marco Fontana (u. a.)
Erscheinungsdatum: 15.09.2012
Gewicht: 0,277 kg
Artikel-ID: 106397955
Zusammenfassung

Latest developments in the theory of ideal factorizations - not included in any other recent books Particularly useful to young researchers in commutative algebra Emphasizes historical development of the subject

Includes supplementary material: [...]

Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes of the Unione Matematica Italiana
Inhalt: viii
164 S.
ISBN-13: 9783642317118
ISBN-10: 3642317111
Sprache: Englisch
Herstellernummer: 86130014
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Fontana, Marco
Lucas, Thomas
Houston, Evan
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes of the Unione Matematica Italiana
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 10 mm
Von/Mit: Marco Fontana (u. a.)
Erscheinungsdatum: 15.09.2012
Gewicht: 0,277 kg
Artikel-ID: 106397955
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