Root bases of polynomials over integral domains. (English) Zbl 1185.13025
Göbel, Rüdiger (ed.) et al., Models, modules and Abelian groups. In memory of A. L. S. Corner. Berlin: Walter de Gruyter (ISBN 978-3-11-019437-1/hbk). 235-248 (2008).
The authors extend results on quotient groups derived from the evaluation of integral polynomials and power series to modules over integral domains. They demonstrate that valuation points which from arithmetic, geometric, and hypergeometric series produce stacked bases and hence tractable quotient modules.
For the entire collection see [Zbl 1176.20002].
For the entire collection see [Zbl 1176.20002].
Reviewer: Jebrel M. Habeb (Irbid)
MSC:
| 13G05 | Integral domains |
| 13C13 | Other special types of modules and ideals in commutative rings |
| 13P05 | Polynomials, factorization in commutative rings |
| 13C05 | Structure, classification theorems for modules and ideals in commutative rings |
| 15A99 | Basic linear algebra |
| 20K25 | Direct sums, direct products, etc. for abelian groups |
