SAGBI and SAGBI-Grobner bases over principal ideal domains

被引：6

作者：

Adams, WW ^{[1
]}

Hosten, S

Loustaunau, P

Miller, JL

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20740 USA

[2] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA

[3] Syst Planning & Anal Inc, Alexandria, VA USA

[4] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 1999年 / 27卷 / 01期

关键词：

D O I：

10.1006/jsco.1998.0243

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Our aim in this paper is to improve on the algorithms for the computation of SAGBI and SAGBI-Grobner for subalgebras of polynomial rings in the special case where the base ring is a principal ideal domain. In addition we will show the existence in general of strong SAGBI bases (the natural analogue of strong Grobner bases) over a PID. (C) 1999 Academic Press.

引用

页码：31 / 47

页数：17

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