Non-commutative Grobner bases under composition

被引：1
|
作者：
Nordbeck, P [1 ]
机构：
[1] Lund Univ, Ctr Math Sci, SE-22100 Lund, Sweden
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 11期
关键词：
non-commutative Grobner bases; composition of polynomials;
D O I：
10.1081/AGB-100106789
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Polynomial composition is the operation of replacing the variables in a polynomial with other polynomials. In this paper we give sufficient and necessary conditions on a set Theta of non-commutative polynomials to assure that the set G circle Theta of composed polynomials is a Grobner basis in the free associative algebra whenever G is. The subject was initiated by Hong, treating the commutative analogue in (1998, J. Symb. Comput. 25, 643-663).
引用
收藏
页码：4831 / 4851
页数：21
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