Some Sufficient Conditions for Jacobson's Conjecture
Received:March 14, 2002  
Key Words: restricted Lie algebras   Jacobson's conjecture   semisimple elements   p-semilin-ear mappings.  
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Author NameAffiliation
CHEN Liang-yun Dept. of Math.
Northeast Normal University
Changchun
China
Dept. of Math.
Nankai University
Tianjin
China 
ZHANG Yong-zheng Dept. of Math.
Haerbin Normal University
Heilongjiang
China 
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Abstract:
      Jacobson conjectured that every restricted Lie algebra (L,[p]) satisfying the requirement x[p]n(x)= x and n(x) > 0 for every x ∈ L is abelian. So far, people haven't still known whether the conjecture is true. There are some sufficient conditions for Jacobson's conjecture in the paper.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.03.019
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