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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 828-834.

• 论文 • 上一篇    下一篇

MODULES OVER DOUBLE CROSSPRODUCTS OF SKEW-HOPF PAIRS

潘庆年1, 郝志峰2   

  1. 1. Department of Mathematics, Huizhou University, Huizhou 516015, P R China;
    2. Department of Applied Mathematics, South China University of Technology, Guangzhou 510641, P R China
  • 收稿日期:2000-09-13 修回日期:2002-01-06 出版日期:2002-07-18 发布日期:2002-07-18
  • 基金资助:
    the Natural Science Foundation of Guangdong Province(000463);the Natural Science Foundation of Huizhou University(010201)

MODULES OVER DOUBLE CROSSPRODUCTS OF SKEW-HOPF PAIRS

PAN Qing-nian1, HAO Zhi-feng2   

  1. 1. Department of Mathematics, Huizhou University, Huizhou 516015, P R China;
    2. Department of Applied Mathematics, South China University of Technology, Guangzhou 510641, P R China
  • Received:2000-09-13 Revised:2002-01-06 Online:2002-07-18 Published:2002-07-18
  • Supported by:
    the Natural Science Foundation of Guangdong Province(000463);the Natural Science Foundation of Huizhou University(010201)

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摘要： The purpose is to study modules of double crossproducts D(X,A) of Skew-Hopf pairs (X,A). A sufficient and necessary condition for M to be D(X,A)-mod is shown. Relations between D(X,A)-mod and quantam Yang-Baxter A-mod or X-mod are revealed.

Abstract: The purpose is to study modules of double crossproducts D(X,A) of Skew-Hopf pairs (X,A). A sufficient and necessary condition for M to be D(X,A)-mod is shown. Relations between D(X,A)-mod and quantam Yang-Baxter A-mod or X-mod are revealed.

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