Rota-Baxter 3-超代数的构造  

The construction of Rota-Baxter 3-superalgebras

作　　者：王波[1] 刘贵来 魏竹[1] WANG Bo;LIU Gui-lai;WEI Zhu(School of Mathematics and Statistics, Northeast Normal University, Changchun 130024 ,China)

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2018年第2期1-6,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11171055);吉林省自然科学基金资助项目(201301068JC)

摘　　要：定义了超导子、Rota-Baxter 3-李超代数和Rota-Baxter李超三系,通过在这两个超代数上重新定义的偶三元线性映射,给出了利用映射性质构造新的Rota-Baxter 3-李超代数和Rota-Baxter李超三系的方法.The definitions of superderivations,Rota-Baxter3-Lie superalgebras and Rota-Baxter Lie supertriple systems are given.The even ternary linear maps on Rota-Baxter Lie superalgebras and Rota-Baxter Lie super triple systems are defined.The methods to construct the Rota-Baxte 3-Lie superalgebras and Rota-Baxter Lie supertriple systems based on the two superalgebras according to the given laws of maps are shown.

关 键 词：Rota-Baxter超算子 Rota-Baxter 3-李超代数 超导子 Rota-Baxter李超三系 

分 类 号：O152.5[理学—数学]