SAGBI and SAGBI-Grobner bases over principal ideal domains

Authors
Adams, WW Hosten, S Loustaunau, P Miller, JL
Citation
Ww. Adams et al., SAGBI and SAGBI-Grobner bases over principal ideal domains, J SYMB COMP, 27(1), 1999, pp. 31-47
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF SYMBOLIC COMPUTATION
ISSN journal
07477171 → ACNP
Volume
27
Issue
1
Year of publication
1999
Pages
31 - 47
Database
ISI
SICI code
0747-7171(199901)27:1<31:SASBOP>2.0.ZU;2-A
Abstract
Our aim in this paper is to improve on the algorithms for the computation o f SAGBI and SAGBI-Grobner for subalgebras of polynomial rings in the specia l 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.