The Picard Group of Corings |
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Authors: | Mohssin Zarouali-Darkaoui |
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Institution: | 1. Department of Algebra, Faculty of Sciences , University of Granada , Granada, Spain zaroual@correo.ugr.es |
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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. |
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Keywords: | Corings The Picard group The Aut–Pic property |
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