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Titlebook: Non-Noetherian Commutative Ring Theory; Scott T. Chapman,Sarah Glaz Book 2000 Springer Science+Business Media Dordrecht 2000 Dimension.Div

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发表于 2025-3-21 18:31:59 | 显示全部楼层 |阅读模式
书目名称Non-Noetherian Commutative Ring Theory
编辑Scott T. Chapman,Sarah Glaz
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Non-Noetherian Commutative Ring Theory;  Scott T. Chapman,Sarah Glaz Book 2000 Springer Science+Business Media Dordrecht 2000 Dimension.Div
描述Commutative Ring Theory emerged as a distinct field of research in math­ ematics only at the beginning of the twentieth century. It is rooted in nine­ teenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researc
出版日期Book 2000
关键词Dimension; Divisor; Grad; commutative ring; ring theory
版次1
doihttps://doi.org/10.1007/978-1-4757-3180-4
isbn_softcover978-1-4419-4835-9
isbn_ebook978-1-4757-3180-4
copyrightSpringer Science+Business Media Dordrecht 2000
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Mathematics and Its Applicationshttp://image.papertrans.cn/n/image/666985.jpg
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Half-Factorial Domains, a Survey,Let . be an integral domain. . is . if every nonzero nonunit of . can be written as a product of irreducible elements (or atoms) of . Let . represent the set of irreducible elements of . Traditionally, an atomic domain . is a unique factorization domain (UFD) if . .… . . = . .… . . for each ai and . . ∈. (.) implies:
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978-1-4419-4835-9Springer Science+Business Media Dordrecht 2000
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The Class Group and Local Class Group of an Integral Domain,tible (fractional) .ideals of . under t-multiplication, and let . (resp., . be its subgroup of principal (resp., invertible) (fractional) ideals. Then . is an abelian group, called the (.)class group of R; the Picard group of . is . and the local (.)class group of . is .. If . is a Krull domain, the
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