J4 ›› 2010, Vol. 48 ›› Issue (02): 241-244.

Previous Articles     Next Articles

Braid Monoidal Category of Partial Doi-Hopf Modules

JIANG Xiuyan1, JIA Ling2   

  1. 1. Deparment of Mathematics, Teacher’s College of Daqing, Daqing 163712, Heilongjiang Province, China;2. College of Mathematics and Information, Ludong University, Yantai 264025, Shandong Province, China
  • Received:2009-05-15 Online:2010-03-26 Published:2010-03-22
  • Contact: JIANG Xiuyan E-mail:jiangxy1963@sohu.com

Abstract:

We firstly introduced the notions of Monoidal Partial Doi-Hopf data and modules and gave some examples so as to make the category of these be a Monoidal category. Subsequently we constructed the braiding on the basis of the braiding structures of some important module categories and obtained the sufficient and necessary conditions for the category of Partial Doi-Hopf modules being braided monoidal category.

Key words: Partial entwined module, Monoidal category; braiding

CLC Number: 

  • O153.6