ON THE EXISTENCE OF MAXIMAL COHEN-MACAULAY MODULES OVER p th ROOT EXTENSIONS

نویسندگان

  • DANIEL KATZ
  • D. KATZ
چکیده

Let S be an unramified regular local ring having mixed characteristic p > 0 and R the integral closure of S in a pth root extension of its quotient field. We show that R admits a finite, birational module M such that depth(M) = dim(R). In other words, R admits a maximal Cohen-Macaulay module.

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تاریخ انتشار 1999