Catenarity of formal power series rings over a pullback
β Scribed by David F. Anderson; David E. Dobbs; Marco Fontana; Mohammed Khalis
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 936 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
We consider the continued fraction expansion of certain algebraic formal power series when the base field is finite. We are concerned with the property of the sequence of partial quotients being bounded or unbounded. We formalize the approach introduced by Baum and Sweet (1976), which applies to the
Fix a finite commutative ring R. Let u and v be power series over R, with v(0) = 0. This paper presents an algorithm that computes the first n terms of the composition u(v), given the first n terms of u and v, in n 1+o(1) ring operations. The algorithm is very fast in practice when R has small chara