Dorroh extensions of algebras and coalgebras

doi:10.1007/s11464-021-0901-1

Front. Math. China

2021, Vol. 16

Issue (3) : 857-888 https://doi.org/10.1007/s11464-021-0901-1

RESEARCH ARTICLE

Dorroh extensions of algebras and coalgebras

Lan YOU^1,², Huixiang CHEN¹(

)

¹. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
². School of Mathematics and Physics, Yancheng Institute of Technology, Yancheng 224051, China

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Abstract

We study Dorroh extensions of algebras and Dorroh extensions of coalgebras. Their structures are described. Some properties of these extensions are presented. We also introduce the finite duals of algebras and modules which are not necessarily unital. Using these finite duals, we determine the dual relations between the two kinds of extensions.

Keywords Dorroh extension of algebra Dorroh extension of coalgebra Dorroh pair of coalgebras finite dual

Corresponding Author(s): Huixiang CHEN

Issue Date: 14 July 2021

Cite this article:

Lan YOU,Huixiang CHEN. Dorroh extensions of algebras and coalgebras[J]. Front. Math. China, 2021, 16(3): 857-888.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0901-1
https://academic.hep.com.cn/fmc/EN/Y2021/V16/I3/857

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