Journal of Jilin University Science Edition

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Quasitoral Restricted Leibniz Algebras

GUAN Baoling1, TIAN Lijun2, ZHANG Quan1   

  1. 1. College of Sciences, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China;2. Graduate School, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China
  • Received:2014-04-04 Online:2015-01-26 Published:2015-01-19
  • Contact: GUAN Baoling E-mail:baolingguan@126.com

Abstract:

The authors generalized some properties  of the quasi\|toral restricted Lie algebras to restricted Leibniz algebras, obtained some important properties for the quasitoral restricted Leibniz algebras, and gave several sufficient conditions of commutativity for the quasitoral restricted Leibniz algebras  by means of these properties for the quasitoral restricted Leibniz algebras.

Key words:  restricted Leibniz algebra, nonsingular mapping, quasitoral element

CLC Number: 

  • O152.5