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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)
版 | 1st ed. 2013. |
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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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Springer eBooks | 9783642317125 |
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EB00207709 |
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※2017年9月4日以降