Cohomology of partial smash products

JOURNAL OF ALGEBRA

卷:482

Article

Alvares, Edson Ribeiro¹  Alves, Marcelo Muniz¹  Julia Redondo, Maria² 

[1] Univ Fed Parana, Ctr Politecn, Dept Matemat, CP019081, BR-81591980 Curitiba, PR, Brazil

[2] Univ Nacl Sur, CONICET, Inst Matemat INMABB, Dept Matemat, Bahia Blanca, Buenos Aires, Argentina

关键词: Partial smash products;    Spectral sequence;    Cohomology;    Partial actions;   

DOI  :  10.1016/j.jalgebra.2017.03.020

来源: Elsevier

【 摘 要 】

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 products with partial group cohomology and algebra cohomology. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free