%0 Journal Article
%T The Groebner Bases of Two sided Ideals in Clifford and Grassmann Algebras
Clifford与Grassmann代数的理想的Groebner基
%A Liu Jinwang
%A Shen Jianhua
%A Xiao Yuelong
%A
刘金旺
%A 申建华
%A 肖跃龙
%J 数学物理学报(A辑)
%D 2005
%I
%X 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.
%K Clifford and Grassmann algebras
%K Term ordering
%K Groebner bases
Clifford代数
%K 项序
%K Groebner基
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=38CD43D2CC1B1A39&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=0B39A22176CE99FB&sid=73579BC9CFB2D787&eid=A58CF3BAE79427D0&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=9