Strongly graded rings with fixed principal component are classified up to isomorphism by conjugacy classes of factor systems, which conversely realize every such ring and provide a framework for graded derivation lifts with cohomological obstructions.
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Factor systems and geometric structures of strongly graded rings
Strongly graded rings with fixed principal component are classified up to isomorphism by conjugacy classes of factor systems, which conversely realize every such ring and provide a framework for graded derivation lifts with cohomological obstructions.