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Comatrix corings and invertible bimodules

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Estendiamo il Teorema di Masuoka [11] riguardante l'isomorfismo tra il gruppo dei bimoduli invertibili su un'estensione di anelli non commutativa e il gruppo di automorfismi del coanello canonico associato di Sweedler, alla classe dei coanelli di comatrici finiti introdotta in [6].

Abstract

We extend Masuoka's Theorem [11] concerning the isomorphism between the group of invertible bimodules in a non-commutative ring extension and the group of automorphisms of the associated Sweedler's canonical coring, to the class of finite comatrix corings introduced in [6].

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Author notes

  1. L. El Kaoutit & J. Gómez-Torrecillas

    Present address: Departamento de Álgebra, Universidad de Granada, E18071, Granada, Spain

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    1. L. El Kaoutit
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    2. J. Gómez-Torrecillas
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    Correspondence to L. El Kaoutit.

    Additional information

    Research supported by the grant BFM2001-3141 from the Ministerio de Ciencia y Tecnología of Spain and FEDER.

    Supported by the grant SB2003-0064 from the Ministerio de Educación, Cultura y Deporte of Spain.

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    El Kaoutit, L., Gómez-Torrecillas, J. Comatrix corings and invertible bimodules. Ann. Univ. Ferrara 51, 263–280 (2005). https://doi.org/10.1007/BF02824834

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