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The Picard Group of Corings
Authors:Mohssin Zarouali-Darkaoui
Institution:1. Department of Algebra, Faculty of Sciences , University of Granada , Granada, Spain zaroual@correo.ugr.es
Abstract:We introduce and study the Picard group of a coring. We give an exact sequence relating the Picard group of a coring and its automorphisms generalizing the known exact sequences associated to an algebra and a coalgebra over a field. We also extend to corings the Aut–Pic property and we give some new corings satisfying this property.
Keywords:Corings  The Picard group  The Aut–Pic property
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