给出了李超三系上(广义) (θ,φ)-导子和(广义) Jordan (θ, φ)-导子的定义,得到了李超三系上 Jordan (θ, φ)-导子是(θ,φ)-导子,以及广义 Jordan (θ,φ)-导子是广义(θ, φ)-导子的充分条件,并证明了李超三系的 Jordan θ-导子就是θ-导子.
Abstract
In this paper, the concepts of (generalized) (θ,φ)-derivations and (generalized) Jordan (θ,φ)-derivations on a Lie supertriple system are introduced. It is proved that Jordan (θ,φ)-derivations (resp. generalized Jordan (θ,φ)-derivations) are (θ,φ)-derivations (resp. generalized (θ,φ)-derivations) on a Lie supertriple system under some conditions. In particular, Jordan θ-derivations are θ-derivations on a Lie supertriple system.
关键词
Jordan 导子 /
广义导子 /
李超三系
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Key words
Jordan derivation /
generalized derivation /
Lie supertriple system
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参考文献
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脚注
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基金
国家自然科学基金(11171055,11071068);教育部留学回国人员科研启动基金;吉林省自然科学\\hbox{\hskip1.45cm}基金(201115006);浙江省教育厅创新团队基金(T200924);钱江人才计划(2007R10031)
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