Factoring Ideals in Integral Domains
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 f...
| Main Authors: | , , |
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| Corporate Author: | |
| Format: | Electronic |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2013.
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| Series: | Lecture Notes of the Unione Matematica Italiana,
14 |
| Subjects: | |
| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-31712-5 |
| Summary: | 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. Pr<U+00fc>fer domains play a central role in our study, but many non-Pr<U+00fc>fer examples are considered as well. |
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| Physical Description: | VIII, 164 p. online resource. |
| ISBN: | 9783642317125 |
| ISSN: | 1862-9113 ; |