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数学物理学报(A辑) 2005
The Groebner Bases of Two sided Ideals in Clifford and Grassmann Algebras
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Abstract:
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.