Title :
The Gröbner h-bases under composition
Author :
Li, Dongmei ; Liu, Weijun ; Weijun Liu
Author_Institution :
Sch. of Math. Sci. & Comput. Technol., Central South Univ., Changsha, China
Abstract :
Polynomial composition is the operation of replacing variables in a polynomial with other polynomials. H.Hong has resolved following problem: when does polynomial composition commute with Gröbner basis computation? The main question of this paper is: when does polynomial composition commute with Gröbner h-bases computation? And we obtain some interesting results. These have some natural application in the computation of Gröbner bases of composed polynomials which often appear in real life problems.
Keywords :
geometry; polynomials; Grobner h-bases; polynomial composition; Algebra; Educational institutions; Information science; Mercury (metals); Polynomials; Presses;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765262
