Dorroh extensions of algebras and coalgebras

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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