The Ore Extension of Group-Cograded Hopf Coquasigroups

Lingli Zhu; Bingbing Jin; Huili Liu; Tao Yang

doi:10.3390/math11173703

Mathematics (Aug 2023)

The Ore Extension of Group-Cograded Hopf Coquasigroups

Lingli Zhu,
Bingbing Jin,
Huili Liu,
Tao Yang

Affiliations

Lingli Zhu: College of Science, Nanjing Agricultural University, Nanjing 210095, China
Bingbing Jin: College of Science, Nanjing Agricultural University, Nanjing 210095, China
Huili Liu: College of Science, Nanjing Agricultural University, Nanjing 210095, China
Tao Yang: College of Science, Nanjing Agricultural University, Nanjing 210095, China

DOI: https://doi.org/10.3390/math11173703
Journal volume & issue: Vol. 11, no. 17
p. 3703

Abstract

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The aim of this paper is the Ore extension of group-cograded Hopf coquasigroups. This paper first shows a categorical interpretation and some examples of group-cograded Hopf coquasigroups, and then provides a necessary and sufficient condition for the Ore extension of group-cograded Hopf coquasigroups to be group-cograded Hopf coquasigroups. Finally, a certain isomorphism between Ore extensions are considered.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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