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Graded Equivalence for Graded Idempotent Rings

math.RA · 2026-04-14 · unverdicted · novelty 6.0

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.

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  • Graded Equivalence for Graded Idempotent Rings math.RA · 2026-04-14 · unverdicted · none · ref 8

    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.