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[1] Zhang Senlin, Wang Shuanhong,. Fundamentals of quasigroup Hopf group-coalgebras [J]. Journal of Southeast University (English Edition), 2021, (1): 114-118. [doi:10.3969/j.issn.1003-7985.2021.01.015]
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
Issue:
2021年第1期
Page:
114-118
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2021-03-20

Info

Title:
Fundamentals of quasigroup Hopf group-coalgebras
Author(s):
Zhang Senlin Wang Shuanhong
School of Mathematics, Southeast University, Nanjing 211189, China
Keywords:
Hopf quasigroup group-coalgebra quasigroup Hopf group-coalgebra convolution algebra
PACS:
O153
DOI:
10.3969/j.issn.1003-7985.2021.01.015
Abstract:
A large class of algebras(possibly nonassociative)with group-coalgebraic structures, called quasigroup Hopf group-coalgebras, is introduced and studied. Quasigroup Hopf group-coalgebras provide a unifying framework for the classical Hopf algebras and Hopf group-coalgebras as well as Hopf quasigroups. Then, basic results similar to those in Hopf algebras H are proved, such as anti-(co)multiplicativity of the antipode S:H→H, and S2=id if H is commutative or cocommutative.

References:

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Memo

Memo:
Biographies: Zhang Senlin(1989—), male, Ph.D. candidate; 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: Zhang Senlin, Wang Shuanhong.Fundamentals of quasigroup Hopf group-coalgebras[J].Journal of Southeast University(English Edition), 2021, 37(1):114-118.DOI:10.3969/j.issn.1003-7985.2021.01.015.
Last Update: 2021-03-20