Coalgebra extensions and algebra coextensions of galois type

Tomasz Brzeziński, Piotr M. Hajac

Type: Article

Publication Date: 1999-01-01

Citations: 124

DOI: https://doi.org/10.1080/00927879908826498

Abstract

Abstract The notion of a coalgebra-Galois extension is defined as a natural generalisation of a Hopf-Galois extension. It is shown that any coalgebra-Galois extension induces a unique entwining map ψ compatible with the right coaction. For the dual notion of an algebra-Galois coextension it is also proven that there always exists a unique entwining structure compatible with the right action.

Locations

arXiv (Cornell University) - PDF
Communications in Algebra - View

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