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[1] You Miman, Wang Shuanhong,. Monoidal Hom-Hopf algebra on Hom-twisted product [J]. Journal of Southeast University (English Edition), 2016, 32 (3): 391-394. [doi:10.3969/j.issn.1003-7985.2016.03.022]
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Monoidal Hom-Hopf algebra on Hom-twisted product()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
32
Issue:
2016 3
Page:
391-394
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2016-09-20

Info

Title:
Monoidal Hom-Hopf algebra on Hom-twisted product
Author(s):
You Miman;  Wang Shuanhong
Department of Mathematics, Southeast University, Nanjing 211189, China
Keywords:
monoidal Hom-Hopf algebra;  Hom-twisted product;  Hom-smash coproduct
PACS:
O153.3
DOI:
10.3969/j.issn.1003-7985.2016.03.022
Abstract:
Let(H, α)be a monoidal Hom-bialgebra and(B, β)be a left(H, α)-Hom-comodule coalgebra. The new monoidal Hom-algebra B#×H is constructed with a Hom-twisted product Bσσ［H］ and a B×H Hom-smash coproduct. Moreover, a sufficient and necessary condition for B#×H to be a monoidal Hom-bialgebra is given. In addition, let(H, α)be a Hom-σ-Hopf algebra with Hom-σ-antipode SHH, and a sufficient condition for this new monoidal Hom-bialgebra B#×H with the antipode S defined by S(b×h)=(1BB×SHH(α-1(b(-1))))·(SBB(b(0))×1HH)to be a monoidal Hom-Hopf algebra is derived.

References:

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Memo

Memo:
Biographies: You Miman(1984—), female, doctor; Wang Shuanhong(corresponding author), male, doctor, professor, shuanhwang@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.11371088, 10871042, 11571173), the Fundamental Research Funds for the Central Universities(No.KYLX15_0105).
Citation: You Miman, Wang Shuanhong.Monoidal Hom-Hopf algebra on Hom-twisted product[J].Journal of Southeast University(English Edition), 2016, 32(3):391-394.DOI:10.3969/j.issn.1003-7985.2016.03.022.
Last Update: 2016-09-20