The Frobenius exponent of Cartier subalgebras
classification
🧮 math.AC
keywords
cartierfinitefrobeniussubalgebrasalgebracharacteristiccomplexityexponent
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Let $R$ be a standard graded finitely generated algebra over an $F$-finite field of prime characteristic, localized at its maximal homogeneous ideal. In this note, we prove that that Frobenius complexity of $R$ is finite. Moreover, we extend this result to Cartier subalgebras of $R$.
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