Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (5): 1997-2006.doi: 10.1016/S0252-9602(11)60377-9

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THE CLASSIFICATION OF NILPOTENT LEIBNIZ 3-ALGEBRAS

 BAI Rui-Pu, ZHANG Jie   

  1. College of Mathematics and Computer Science, Hebei University, Baoding 071002, China
  • Received:2009-09-27 Online:2011-09-20 Published:2011-09-20
  • Supported by:

    Project partially supported by NSFC (10871192), NSF of Hebei Province (A2010000194).

Abstract:

The notions of the nilpotent and the strong-nilpotent Leibniz 3-algebras are defined. And the three dimensional two-step nilpotent, strong-nilpotent Leibniz 3-algebras are classified.

Key words: nilpotent Leibniz 3-algebra, two-step nilpotent, strong-nilpotent

CLC Number: 

  • 17B05
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