An (ordinary) \(Z\)-graded \(A\)-module \(M \in \mathrm{grmod}_A\) is graded-compact-projective if it is a retract of a finite direct sums of grading shifts of the free module \(A\). Let \(\mathrm{grmod}_A^{\mathrm{gr-cp}} \subset \mathrm{grmod}_A\) denote the full subcategory on the graded-compact-projective \(A\)-modules.
Original source: arXiv:2401.02956v2
Original source · 2401.02956v2