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Clifford与Grassmann代数的理想的Groebner基

The Groebner Bases of Two-sided Ideals in Clifford and Grassmann Algebras
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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
关键词 CLIFFORD代数 项序 GROEBNER基 Clifford and Grassmann algebras Term ordering Groebner bases.
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