Characterizing Cohen-Macaulay local rings by Frobenius maps
作者： Ryo Takahashi , Yuji Yoshino
DOI: 10.1090/S0002-9939-04-07525-2
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摘要: Let R be a commutative noetherian local ring of prime characteristic. Denote by e the regarded as an R-algebra through e-times composition Frobenius map. Suppose that is F-finite, i.e., 1 finitely generated R-module. We prove Cohen-Macaulay if and only R-modules have finite dimensions for infinitely many integers e.
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