An exact sequence for the graded Picent

Andrei Marcus, Virgilius-Aurelian Minuta

To a strongly $G$-graded algebra $A$ with $1$-component $B$ we associate the group ${\mathrm{Picent}}^{\mathrm{gr}}(A)$ of isomorphism classes of invertible $G$-graded $(A,A)$-bimodu…