---

＜電子ブック＞
Zariskian Filtrations / by Li Huishi, Freddy Van Oystaeyen
(K-Monographs in Mathematics ; 2)

版	1st ed. 1996.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1996
本文言語	英語
大きさ	IX, 253 p : online resource
著者標目	*Li Huishi author Van Oystaeyen, Freddy author SpringerLink (Online service)
件　名	LCSH:Associative rings LCSH:Associative algebras LCSH:Algebra, Homological LCSH:Algebraic geometry LCSH:Differential equations LCSH:Elementary particles (Physics) LCSH:Quantum field theory FREE:Associative Rings and Algebras FREE:Category Theory, Homological Algebra FREE:Algebraic Geometry FREE:Differential Equations FREE:Elementary Particles, Quantum Field Theory
一般注記	I Filtered Rings and Modules -- II Zariskian Filtrations -- III Auslander Regular Filtered (Graded) Rings -- IV Microlocalization of Filtered Rings and Modules, Quantum Sections and Gauge Algebras -- References 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 differential operators and 1J-modules a la Kashiwara-Shapira HTTP:URL=https://doi.org/10.1007/978-94-015-8759-4

 類似資料