Constructions of three kinds of Bihom-superalgebras
Constructions of three kinds of Bihom-superalgebras
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DOI：
10.3934/era.2021059
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发表时间：
2021
影响因子：
0.8
通讯作者：
Yingli Hou;Liangyun Chen
中科院分区：
文献类型：
--
作者：
Yingli Hou;Liangyun Chen
本文主要研究Bihom-Alternative超代数与Bihom-Malcev超代数和Bihom-Jordan超代数之间的构造。首先，详细说明了正则Bihom-alternative超代数可以是Bihom-Malcev-容许超代数或Bihom-Jordan-容许超代数。其次，作为Bihom-交错超代数的性质，讨论了Bihom-交错超代数的双模和\开始{document}$ T^*_\theta $\end{document}-扩张.
The purpose of this paper is to study the constructions between Bihom-alternative superalgebras and Bihom-Malcev superalgebras and Bihom-Jordan superalgebras. First, we explain in detail that every regular Bihom-alternative superalgebra could be Bihom-Malcev-admissible superalgebra or Bihom-Jordan-admissible superalgebra. Next, the bimodules and \begin{document}$ T^*_\theta $\end{document}-extensions of Bihom-alternative superalgebras are also discussed as properties of Bihom-alternative superalgebras.