τ-regular modules are those with projective presentations of maximal rank; they form open subsets of module varieties whose closures are generically τ-regular components, with additivity of maximal rank tied to reduction to projective dimension at most one.
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On the additivity of projective presentations of maximal rank
τ-regular modules are those with projective presentations of maximal rank; they form open subsets of module varieties whose closures are generically τ-regular components, with additivity of maximal rank tied to reduction to projective dimension at most one.