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· 2014 · arXiv 1412.4918

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Growth in noncommutative algebras and entropy in derived categories

math.RA · 2026-04-15 · unverdicted · novelty 5.0

Categorical and polynomial entropies of Serre twists in derived categories of noncommutative varieties are bounded above by the algebra's growth entropy and GK dimension for finite global dimension cases, with equality for regular algebras and smooth varieties but strict inequality for monomial poly

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  • Growth in noncommutative algebras and entropy in derived categories math.RA · 2026-04-15 · unverdicted · none · ref 9

    Categorical and polynomial entropies of Serre twists in derived categories of noncommutative varieties are bounded above by the algebra's growth entropy and GK dimension for finite global dimension cases, with equality for regular algebras and smooth varieties but strict inequality for monomial poly