Cohomology of partial smash products
arXiv:1611.02551 · doi:10.1016/j.jalgebra.2017.03.020
Abstract
We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations and with the partial augmentation ideal and we show that there exists a Grothendieck spectral sequence relating cohomology of partial smash algebras with partial group cohomology and algebra cohomology.
Final version to appear in the Journal of Algebra, 21 pages. Misprint corrected in page 11 and Proposition 3.3 concerning partial derivations