On the third cohomology group of commutative monoids
K-Theory and Homology
2015-02-17 v2 Category Theory
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.
Keywords
Cite
@article{arxiv.1406.6835,
title = {On the third cohomology group of commutative monoids},
author = {María Calvo-Cervera and Antonio M. Cegarra and Benjamín A. Heredia},
journal= {arXiv preprint arXiv:1406.6835},
year = {2015}
}
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18 pages