Home | Quick Search | Advanced Search | Bibliography submission | Bibliography submission using bibtex | Bibliography submission using bibtex file | Links | Help | Internal

Details:

   
TitleNon-Commutative Gröbner Bases Under Composition
Author(s) Patrik Nordbeck
TypeArticle in Journal
AbstractPolynomial 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 T of non-commutative polynomials to assure that the set G ? T of composed polynomials is a Gröbner 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, 643663).
KeywordsNon-commutative Gröbner bases, Composition of polynomials
Length22
ISSN0092-7872
File
LanguageEnglish
JournalCommunications in Algebra
Volume29
Number11
Pages4831-4851
PublisherTaylor & Francis
Year2001
MonthNovember
Translation No
Refereed No
Organization Lund University
Webmaster