Lie Admissible Non-Associative Algebras

• 来源期刊: 代数集刊（英文版）
• 关键词: non-associative algebra simple Lie admissible Jacobian conjecture derivation solid algebra
• 年，卷（期）: 2005,（1）
• 页码范围: 113-120
• 页数: 8页
• 语种: 英文

摘要

A non-associative ring which contains a well-known associative ring or Lie ring is interesting. In this paper, a method to construct a Lie admissible non-associative ring is given; a class of simple non-associative algebras is obtained; all the derivations of the non-associative simple N0,0,1 algebra defined in this paper are determined; and finally, a solid algebra is defined.