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December 2021, 29(6): 3741-3760. doi: 10.3934/era.2021059
Constructions of three kinds of Bihom-superalgebras
Ying Hou and Liangyun Chen ,
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
* Corresponding author: chenly640@nenu.edu.cn
Received May 2021 Revised July 2021 Published December 2021 Early access August 2021
Fund Project: Supported by the National Natural Science Foundation of China (Nos. 11771069 and 12071405)
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 $ T^*_\theta $-extensions of Bihom-alternative superalgebras are also discussed as properties of Bihom-alternative superalgebras.
Keywords: Bihom-alternative superalgebras, Bihom-Malcev superalgebras, Bihom-Jordan superalgebras, $ T^*_\theta $-extensions.
Mathematics Subject Classification: Primary: 17A15, 17A60, 17D05, 17D10; Secondary: 17B61.
Citation: Ying Hou, Liangyun Chen. Constructions of three kinds of Bihom-superalgebras. Electronic Research Archive, 2021, 29 (6) : 3741-3760. doi: 10.3934/era.2021059
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