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J4 ›› 2011, Vol. 46 ›› Issue (6): 12-17.

• 论文 • 上一篇    下一篇

量子代数An(q1, … , qn,K)的强既约Groebner基

苏藏   

  1. 海南大学信息科学技术学院应用数学系, 海南 海口 570228
  • 收稿日期:2010-02-26 出版日期:2011-06-16 发布日期:2011-12-19
  • 作者简介:苏藏(1983- ),女,硕士,研究方向为计算代数. Email:253789241@163.com
  • 基金资助:

    国家自然科学基金资助项目(10971044)

Strong reduced Groebner bases of quantum algebra An(q1,…,qn,K)

SU Cang   

  1. Department of Applied Mathematics, College of Information Science and Technology,
    Hainan University, Haikou 570228, Hainan, China
  • Received:2010-02-26 Online:2011-06-16 Published:2011-12-19

摘要:

对于量子代数An(q1,…,qn,K)的左理想 引入了强既约Groebner基,证明了这种基的存在性与惟一性,并给出了构造一个强既约Groebner基的算法。

关键词: 量子代数;q-微分算子代数;弱既约Groebner基;强既约Groebner基

Abstract:

Strong reduced Groebner bases for left ideals of quantum algebra An(q1,…,qn,K) are introduced, the existence and uniqueness of such a basis is proved, and an algorithm for constructing a strong reduced Groebner basis is given.
 

Key words: quantum algebra; algebra of q-differential operators; weak reduced Groebner bases; strong reduced Groebner bases

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