Corrigendum to Cleft Extensions of Hopf Algebroids |
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Authors: | Gabriella Böhm Tomasz Brzeziński |
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Affiliation: | 1. Research Institute for Particle and Nuclear Physics, Budapest, 1525, Budapest 114, P.O.B. 49, Hungary 2. Department of Mathematics, Swansea University, Singleton Park, Swansea, SA2 8PP, UK
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Abstract: | Theorem 2.2 stated a monoidal isomorphism between the comodule categories of two bialgebroids in a Hopf algebroid. The proof of Theorem 2.2 was based on the journal version of Brzeziński (Ann Univ Ferrara Sez VII (NS) 51:15–27, 2005, Theorem 2.6), whose proof turned out to contain an unjustified step. Here we show that all other results in our paper remain valid if we drop unverified Theorem 2.2, and return to an earlier definition of a comodule of a Hopf algebroid that distinguishes between comodules of the two constituent bialgebroids. |
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