Third Mac Lane cohomology via categorical rings
K-Theory and Homology
2007-05-23 v1
Abstract
It is proved that the third Mac Lane cohomology group of a ring R with coefficients in a bimodule B classifies categorical rings having R as the ring of isomorphism classes of objects and B as the bimodule of automorphisms of the neutral object.
Cite
@article{arxiv.math/0608519,
title = {Third Mac Lane cohomology via categorical rings},
author = {Mamuka Jibladze and Teimuraz Pirashvili},
journal= {arXiv preprint arXiv:math/0608519},
year = {2007}
}