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.
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页码：31 / 47
页数：17
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