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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.
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.
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: [...]
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 176 |
| 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 |
| Auflage: | 2013 |
| Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Lecture Notes of the Unione Matematica Italiana |
| Maße: | 235 x 155 x 10 mm |
| Von/Mit: | Marco Fontana (u. a.) |
| Erscheinungsdatum: | 15.09.2012 |
| Gewicht: | 0,277 kg |
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: [...]
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 176 |
| 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 |
| Auflage: | 2013 |
| Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Lecture Notes of the Unione Matematica Italiana |
| Maße: | 235 x 155 x 10 mm |
| Von/Mit: | Marco Fontana (u. a.) |
| Erscheinungsdatum: | 15.09.2012 |
| Gewicht: | 0,277 kg |
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