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Third Mac Lane cohomology
Published online by Cambridge University Press: 01 March 2008
Abstract
MacLane cohomology is an algebraic version of the topological Hochschild cohomology. Based on the computation of the third author (see Appendix) 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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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 2 , March 2008 , pp. 337 - 367
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- Copyright © Cambridge Philosophical Society 2008
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