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[1] Shi Guodong, Wang Shuanhong,. BiHom-H-pseudoalgebras and their constructions [J]. Journal of Southeast University (English Edition), 2019, 35 (2): 269-272. [doi:10.3969/j.issn.1003-7985.2019.02.019]
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BiHom-H-pseudoalgebras and their constructions()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
35
Issue:
2019 2
Page:
269-272
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2019-06-30

Info

Title:
BiHom-H-pseudoalgebras and their constructions
Author(s):
Shi Guodong;  Wang Shuanhong
School of Mathematics, Southeast University, Nanjing 211189, China
Keywords:
BiHom-associative H-pseudoalgebrsa;  Yau twist;  tensor product BiHom-associative H-pseudoalgebras
PACS:
O153
DOI:
10.3969/j.issn.1003-7985.2019.02.019
Abstract:
The definition and an example of BiHom-associative H-pseudoalgebra are given. A BiHom-H-pseudoalgebra is an H-pseudoalgebra(A, μ)with two maps α, β∈HomHH(A, A)satisfying the BiHom-associative law which generalizes BiHom-associative algebras and associative H-pseudoalgebras. Secondly, a method which is called the Yau twist of constructing BiHom-associative H-pseudoaglebra(A, (IHHHHα)μ, α, β)from an associative H-pseudoalgebra(A, μ)and two maps of H-pseudoalgebras α, β, is introduced. Thirdly, a generalized form of the Yau twist is discussed. It concerns constructing a BiHom-associative H-pseudoalgebra(A, μ(αβ), α~α, β~β)from a BiHom-associative H-pseudoalgebra(A, μ, α~, β~)and two maps α, β∈HomHH(A, A). Finally, a method of constructing BiHom-associative H-pseudoalgebra on tensor product space AB of two BiHom-associative H- pseudoalgebras is given.

References:

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Memo

Memo:
Biographies: Shi Guodong(1987—), male, graduate; Wang Shuanhong(corresponding author), male, doctor, professor, shuanhwang@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.11371088, 11571173, 11871144), the Natural Science Foundation of Jiangsu Province(No.BK20171348).
Citation: Shi Guodong, Wang Shuanhong.BiHom-H-pseudoalgebras and their constructions[J].Journal of Southeast University(English Edition), 2019, 35(2):269-272.DOI:10.3969/j.issn.1003-7985.2019.02.019.
Last Update: 2019-06-20