Constructions of three kinds of Bihom-superalgebras

Ying Hou; Liangyun Chen; Ying Hou; Liangyun Chen

doi:10.3934/era.2021059

Electronic Research Archive

2021, Volume 29, Issue 6: 3741-3760. doi: 10.3934/era.2021059

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Constructions of three kinds of Bihom-superalgebras

Ying Hou ,
Liangyun Chen ^,

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received: 01 May 2021 Revised: 01 July 2021 Published: 01 December 2021
Primary: 17A15, 17A60, 17D05, 17D10; Secondary: 17B61

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.
Citation: Ying Hou, Liangyun Chen. Constructions of three kinds of Bihom-superalgebras[J]. Electronic Research Archive, 2021, 29(6): 3741-3760. doi: 10.3934/era.2021059

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Abstract

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.

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