Partial generalized crossed products, Brauer groups and a comparison of seven-term exact sequences

Mikhailo Dokuchaev, Hector Pinedo, Itailma Rocha

Given a unital partial action $\alpha$ of a group $G$ on a commutative ring $R$ we denote by ${\mathbf{PicS}}_{R^{\alpha }}(R)$ the Picard monoid of the isomorphism classes of partially invertibl…