×

zbMATH — the first resource for mathematics

A simple algorithm for cyclic vectors. (English) Zbl 0621.13003
Let R be a commutative ring, \(\delta\) : \(R\to R\) a derivation of R, V a free R-module of rank \(n\geq 1\), and \(D: V\to V\) an additive map with \(D(fv)=\delta (f)v+fD(v)\) for all \(f\in R\), \(v\in V\). In several cases the author gives an explicit construction of a cyclic vector v of (V,D), i.e. a vector \(v\in V\) such that v, \(Dv,...,D^{n-1}v\) is a basis of V.
Reviewer: H.Wiebe

MSC:
13B10 Morphisms of commutative rings
13C10 Projective and free modules and ideals in commutative rings
PDF BibTeX XML Cite
Full Text: DOI