English

Cohomology of partial smash products

Rings and Algebras 2017-06-23 v3

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.

Keywords

Cite

@article{arxiv.1611.02551,
  title  = {Cohomology of partial smash products},
  author = {Edson Ribeiro Alvares and Marcelo Muniz Alves and Maria Julia Redondo},
  journal= {arXiv preprint arXiv:1611.02551},
  year   = {2017}
}

Comments

Final version to appear in the Journal of Algebra, 21 pages. Misprint corrected in page 11 and Proposition 3.3 concerning partial derivations