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 wh...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.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.12071412,11971418)Graduate Student Scientific Research Innovation Projects in Jiangsu Province(No.XKYCX18_036).
文摘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.
