Dorroh extensions of algebras and coalgebras  

作　　者：Lan YOU Huixiang CHEN 

机构地区：[1]School of Mathematical Science,Yangzhou University,Yangzhou,225002,China [2]School of Mathematics and Physics,Yancheng Institute of Technology,Yancheng,224051,China

出　　处：《Frontiers of Mathematics in China》2021年第3期857-888,共32页中国高等学校学术文摘·数学（英文）

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).

摘　　要：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.

关 键 词：Dorroh extension of algebra Dorroh extension of coalgebra Dorroh pair of coalgebras finite dual 

分 类 号：O17[理学—数学]