Third Mac Lane cohomology via categorical rings

Details Third Mac Lane cohomology via categorical rings Third Mac Lane cohomology via categorical rings

2006-08-21

arxiv.org/abs/math/0608519v1

Mathematics

K-Theory and Homology

Scientific paper

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.

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