Cohomology of diagrams of algebras

Abstract

We consider cohomology of diagrams of algebras by Beck's approach, using comonads. We then apply this theory to computing the cohomology of $\Psi$-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.

References in corpus (1)

• On realizing diagrams of Pi-algebras

Cited by in corpus (3)

• On local-to-global spectral sequences for the cohomology of diagrams
• The cohomology of lambda-rings and K-theory
• A spectral sequence in Bredon cohomology