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Dorroh extensions of algebras and coalgebras |
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| Authors: | Lan YOU Huixiang CHEN |
| Institution: | 1. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China2. School of Mathematics and Physics, Yancheng Institute of Technology, Yancheng 224051, China |
| 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 |
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