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math.AC2012★ 1 cited
Asymptotic behavior of the socle of Frobenius powers
Jinjia Li
Let be a local ring of prime characteristic and a varying power of . We study the asymptotic behavior of the socle of where is an -primary i…
math.AC2012
Frobenius criteria of freeness and Gorensteinness
Jinjia Li
Let be the Frobenius functor of Peskine and Szpiro. In this note, we show that the maximal Cohen-Macaulayness of forces to be free, provided has a rank. W…