Non-commutative Gröbner bases under composition
Research output: Contribution to journal › Article
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 noncommutative polynomials to assure that the set $G circ Theta$ of composed polynomials is a Gröbner basis in the free associative algebra whenever $G$ is. The subject was initiated by H. Hong, who treated the commutative analogue in (J. Symbolic Comput. 25 (1998), no. 5, 643--663).
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Communications in Algebra|
|Publication status||Published - 2001|