Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (2): 171-175.

• Articles • Previous Articles     Next Articles

The Groebner Bases of Two sided Ideals in Clifford and Grassmann Algebras

 LIU Jin-Wang, SHEN Jian-Hua, XIAO Ti-Long-   

  • Online:2005-04-25 Published:2005-04-25
  • Supported by:

    国家自然科学基金、湖南省自然科学基金(02jjy5004)和湖南省教育厅青年课题(03B047)资助

Abstract:

The authors  give an account of the theory of Groebner bases of twosided ideal s 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.

Key words: Clifford and Grassmann algebras,Term ordering,Groebner , bases

CLC Number: 

  • 68Q40
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