Graded equivalences between categories of graded torsion-free unital modules over idempotent graded rings are characterized by Morita contexts with surjective trace maps, relating lattices of submodules and ideals and identifying invariant properties.
Haefner, Graded equivalence theory with applications,J
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Graded Equivalence for Graded Idempotent Rings
Graded equivalences between categories of graded torsion-free unital modules over idempotent graded rings are characterized by Morita contexts with surjective trace maps, relating lattices of submodules and ideals and identifying invariant properties.