摘要
该文首先建立Clifford与Grassmann代数的理想的Groebner基的理论,给出该代数的理想的Groebner基的算法,从而解决了Clifford与Grassmann代数的理想的成员问题.
The authors give an account of the theory of Groebner bases of two-sided ideals for Clifford and Grassman Algebras, both important in physical applications. The authors describe an algorithm for calculating Groebner bases of two-sided ideals in these Algebras. Thereby, the authors solve the membership problem of the two-sided ideals for Clifford and Grassman Algebras.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2005年第2期171-175,共5页
Acta Mathematica Scientia
基金
国家自然科学基金
湖南省自然科学基金 (0 2 jjy5 0 0 4)
湖南省教育厅青年课题 (0 3 B0 47)资助