Dorroh extensions of algebras and coalgebras

doi:10.1007/s11464-021-0901-1

Frontiers of Mathematics in China

2021, Vol. 16

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

本期目录

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

全文: PDF(341 KB)

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.

Key words： Dorroh extension of algebra Dorroh extension of coalgebra Dorroh pair of coalgebras finite dual

收稿日期: 2020-09-21 出版日期: 2021-07-14

Corresponding Author(s): Huixiang CHEN

引用本文:

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

链接本文:

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

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