| 书目名称 | Factoring Ideals in Integral Domains | | 编辑 | Marco Fontana,Evan Houston,Thomas Lucas | | 视频video | | | 概述 | 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 | | 丛书名称 | Lecture Notes of the Unione Matematica Italiana | | 图书封面 |  | | 描述 | This volume provides a wide-ranging survey of, and many new results on, various important typesof 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. | | 出版日期 | Book 2013 | | 关键词 | 13AXX, 13CXX, 13GXX, 14A05, 11AXX; Dedekind domain; h-local domain; ideal factorization; trace property | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-31712-5 | | isbn_softcover | 978-3-642-31711-8 | | isbn_ebook | 978-3-642-31712-5Series ISSN 1862-9113 Series E-ISSN 1862-9121 | | issn_series | 1862-9113 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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发表于 2025-3-21 17:03:59
