MALCEV-NEUMANN SERIES ON THE FREE GROUP AND QUESTIONS OF RATIONALITY

被引：3

作者：

CAUCHON, G

机构：

[1] U.F.R. Sciences Reims, 51062 Reims Cedex

来源：

THEORETICAL COMPUTER SCIENCE | 1992年 / 98卷 / 01期

关键词：

D O I：

10.1016/0304-3975(92)90381-O

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let G be an ordered free group. B a basis contained in G+, OMEGA the sub-monoid spanned by B, and k a field. We construct a family (Q(n)(G))n is-an-element-of N of sub-division rings in k(M)[[G]], the division ring consisting of the so-called Malcev-Neumann series, describe their intersections with k[[OMEGA]], and give some applications concerning rational series in k[[OMEGA]].

引用

页码：79 / 97

页数：19