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arXiv · 1406.6835

On the third cohomology group of commutative monoids

María Calvo-Cervera·Antonio M. Cegarra·Benjamín A. Heredia
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Abstract

We interpret Grillet's symmetric thrid cohomology classes of commutative monoids in terms of strictly symmetric monoidal abelian groupoids. We state and prove a classification result that generalizes the well-known one for strictly commutative Picard categories by Deligne and Fr\"ohlich and Wall, and Sinh.

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María Calvo-Cervera, Antonio M. Cegarra, Benjamín A. Heredia. 2014-06-26. On the third cohomology group of commutative monoids. https://arxiv.org/abs/1406.6835

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