| 书目名称 | Zariskian Filtrations | | 编辑 | Li Huishi,Freddy Oystaeyen | | 视频video | | | 丛书名称 | K-Monographs in Mathematics | | 图书封面 |  | | 描述 | In Commutative Algebra certain /-adic filtrations of Noetherian rings, i.e. the so-called Zariski rings, are at the basis of singularity theory. Apart from that it is mainly in the context of Homological Algebra that filtered rings and the associated graded rings are being studied not in the least because of the importance of double complexes and their spectral sequences. Where non-commutative algebra is concerned, applications of the theory of filtrations were mainly restricted to the study of enveloping algebras of Lie algebras and, more extensively even, to the study of rings of differential operators. It is clear that the operation of completion at a filtration has an algebraic genotype but a topological fenotype and it is exactly the symbiosis of Algebra and Topology that works so well in the commutative case, e.g. ideles and adeles in number theory or the theory of local fields, Puisseux series etc, .... . In Non commutative algebra the bridge between Algebra and Analysis is much more narrow and it seems that many analytic techniques of the non-commutative kind are still to be developed. Nevertheless there is the magnificent example of the analytic theory of rings of differe | | 出版日期 | Book 1996 | | 关键词 | Grad; Homological algebra; algebra; associative ring; commutative algebra; ring theory; partial differenti | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8759-4 | | isbn_softcover | 978-90-481-4738-0 | | isbn_ebook | 978-94-015-8759-4Series ISSN 1386-2804 | | issn_series | 1386-2804 | | copyright | Springer Science+Business Media Dordrecht 1996 |
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发表于 2025-3-21 19:05:12
