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Comatrix Corings and Galois Comodules over Firm Rings

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Abstract

We construct comatrix corings on bimodules without finiteness conditions by using firm rings. This leads to the formulion of a notion of Galois coring which plays a key role in the statement of a Noncommutative Faithfully Flat Descent for comodules which generalizes previous versions. In particular, infinite comatrix corings fit in our general theory.

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Authors and Affiliations

  1. Departamento de Álgebra, Universidad de Granada, 18071, Granada, Spain

    J. Gómez-Torrecillas

  2. Faculty of Engineering, Vrije Universiteit Brussel, VUB, 1015, Brussels, Belgium

    J. Vercruysse

Authors
  1. J. Gómez-Torrecillas
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  2. J. Vercruysse
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Correspondence to J. Gómez-Torrecillas.

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Gómez-Torrecillas, J., Vercruysse, J. Comatrix Corings and Galois Comodules over Firm Rings. Algebr Represent Theor 10, 271–306 (2007). https://doi.org/10.1007/s10468-007-9050-9

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  • DOI: https://doi.org/10.1007/s10468-007-9050-9

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