Cohomology of diagrams of algebras

2008/02/25 by Robinson, Michael · 1 citation
#18C15 #18G55 #18G99 #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.0802.3651

Abstract

We consider cohomology of diagrams of algebras by Beck's approach, using comonads. We then apply this theory to computing the cohomology of Ψ-rings. Our main result is that there is a spectral sequence connecting the cohomology of the diagram of an algebra to the cohomology of the underlying algebra.

Cited by

• Diagrammatic Hochschild cohomology via cohomology of categories, and incidence algebras

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