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arxiv: math/0608519 · v1 · submitted 2006-08-21 · 🧮 math.KT

Third Mac Lane cohomology via categorical rings

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keywords bimodulecategoricalcohomologylaneringringsthirdautomorphisms
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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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