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Third Mac Lane cohomology

2006/04/20 by Hans Joachim Baues, Baues, H. -J., Mamuka Jibladze +3
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.math/0604447

Abstract

Based on the computation of the third author we obtain an interpretation of the third Mac Lane cohomology of rings using certain kind of crossed extensions of rings in the quadratic world. Actually we obtain two such interpretations corresponding to the two monoidal structures on the category of square groups

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