Factoring Ideals in Integral Domains [electronic resource] / by Marco Fontana, Evan Houston, Thomas Lucas.
By: Fontana, Marco [author.].
Contributor(s): Houston, Evan [author.] | Lucas, Thomas [author.] | SpringerLink (Online service).
Material type:
BookSeries: Lecture Notes of the Unione Matematica Italiana: 14Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Description: VIII, 164 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642317125.Subject(s): Mathematics | Algebra | Geometry, algebraic | Number theory | Mathematics | Algebra | Commutative Rings and Algebras | Algebraic Geometry | Number TheoryDDC classification: 512 Online resources: Click here to access online
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Springer eBooksSummary: 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.
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