Cohomology of diagrams of algebras
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cohomologyalgebraalgebrasdiagramsapplyapproachbeckcomonads
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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.
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