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论文类型：期刊论文
发表时间：2018-09-01
发表刊物：CZECHOSLOVAK MATHEMATICAL JOURNAL
收录刊物：SCIE
卷号：68
期号：3
页面范围：661-675
ISSN号：0011-4642
关键字：simple Lie superalgebra; superderivation; local superderivation
摘要：Let (n) be a simple strange Lie superalgebra over the complex field a",. In a paper by A.Ayupov, K.Kudaybergenov (2016), the authors studied the local derivations on semi-simple Lie algebras over a", and showed the difference between the properties of local derivations on semi-simple and nilpotent Lie algebras. We know that Lie superalgebras are a generalization of Lie algebras and the properties of some Lie superalgebras are similar to those of semi-simple Lie algebras, but (n) is an exception. In this paper, we introduce the definition of the local superderivation on (n), give the structures and properties of the local superderivations of (n), and prove that every local superderivation on (n), n > 3, is a superderivation.