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Factoring Ideals in Integral Domains / by Marco Fontana, Evan Houston, Thomas Lucas
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 14)

1st ed. 2013.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 2013
大きさ VIII, 164 p : online resource
著者標目 *Fontana, Marco author
Houston, Evan author
Lucas, Thomas author
SpringerLink (Online service)
件 名 LCSH:Algebra
LCSH:Commutative algebra
LCSH:Commutative rings
LCSH:Algebraic geometry
LCSH:Number theory
FREE:Algebra
FREE:Commutative Rings and Algebras
FREE:Algebraic Geometry
FREE:Number Theory
一般注記 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
HTTP:URL=https://doi.org/10.1007/978-3-642-31712-5
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データ種別 電子ブック
分 類 LCC:QA150-272
DC23:512
書誌ID 4000117466
ISBN 9783642317125

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