保积Hom-δ-李超三系的拟导子和型心

Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (4): 825-831.

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Quasiderivation and Centroid of Multiplicative Hom-δ-Lie Supertriple Systems

WU Xianfeng, ZHAO Xiufang, DU Junhua, FU Junwei

Department of Mathematics, College of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China

Received:2019-11-18 Online:2020-07-26 Published:2020-07-16
Contact: WU Xianfeng E-mail:wuxianfenglaoshi@163.com

Abstract

Abstract: Firstly, we give the notion of Hom-δ-Lie supertriple systems and prove that generalized derivations, quasiderivations, derivations Der(T), central derivations ZDer(T), quasicentroids QC(T) and centroids C(T) are Lie superalgebras in a Hom-δ-Lie supertriple system T. Secondly, we prove that ZDer(T) and C(T) are ideals of Der(T) and ZDer(T)=C(T)∩Der(T). If T is centerless, then ［C(T),QC(T)］={0}.

Key words: , Hom-δ-Lie supertriple system, generalized derivation, quasiderivation, centroid

CLC Number:

O152.5

WU Xianfeng, ZHAO Xiufang, DU Junhua, FU Junwei. Quasiderivation and Centroid of Multiplicative Hom-δ-Lie Supertriple Systems[J].Journal of Jilin University Science Edition, 2020, 58(4): 825-831.

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Quasiderivation and Centroid of Multiplicative Hom-δ-Lie Supertriple Systems

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