JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 38-44.doi: 10.6040/j.issn.1671-9352.0.2014.265

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Kegel theorem for generalized Lie algebras

CHEN Hua-xi1, ZHANG Cui-bin1, DONG Li-hong2   

  1. 1. Department of Mathematics and Physics, Bengbu College, Bengbu 233000, Anhui, China;
    2. College of Mathematics and Science, Henan Normal University, Xinxiang, 453007, Henan, China
  • Received:2014-06-12 Online:2014-10-20 Published:2014-11-10

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Abstract: Let π be a group and H,σa cotriangular Hopf πcoalgebra. The difinitions of a class of generalized Lie algebras in the category of right π-comodules over H are introduced, and an analogue of the classical Kegel's theorem is obtained.

Key words: Kegel theorem, π-H-comudule algebras, Hopf π-coalgebras

CLC Number: 

  • O153
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