Li Huishi

(Author)

Zariskian Filtrations (1996)Hardcover - 1996, 31 October 1996

Zariskian Filtrations (1996)
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Part of Series
K-Monographs in Mathematics
Part of Series
NATO Asi Series. Partnership Sub-Series 2, Environment
Print Length
253 pages
Language
English
Publisher
Springer
Date Published
31 Oct 1996
ISBN-10
0792341848
ISBN-13
9780792341840

Description

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.

Product Details

Authors:
Li HuishiFreddy Van Oystaeyen
Book Edition:
1996
Book Format:
Hardcover
Country of Origin:
US
Date Published:
31 October 1996
Dimensions:
23.39 x 15.6 x 1.6 cm
ISBN-10:
0792341848
ISBN-13:
9780792341840
Language:
English
Location:
Dordrecht
Pages:
253
Publisher:
Weight:
553.38 gm

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