Frontiers of Mathematics in China >
Dorroh extensions of algebras and coalgebras
Received date: 21 Sep 2020
Accepted date: 15 Jan 2021
Published date: 15 Jun 2021
Copyright
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.
Lan YOU , Huixiang CHEN . Dorroh extensions of algebras and coalgebras[J]. Frontiers of Mathematics in China, 2021 , 16(3) : 857 -888 . DOI: 10.1007/s11464-021-0901-1
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