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Please use this identifier to cite or link to this item: http://hdl.handle.net/11133/1745

Title: On m-adic Higher Differentials in Commutative Rings
Authors: ARAKI, Atsushi
Issue Date: 31-Mar-1976
Publisher: 愛知工業大学
Abstract: In [1], it was shown that quotient ring R of affine k-algebra with respect to a separable prime ideal is regular if and only if D^e_N (R, k) is free R-algebra for N≠N. In this paper, we shall define the algebra D^^^∧_N (R, P) of m-adic P-differential of rank N in R. When R is a local ring of equal characteristic, we have the following result under some assumptions : D^^^∧_N (R, k) is m-adic free algebra if and only if R is regular. In this paper, all m-adic ring R are assumed to satisfy the conditions [numerical formula] unless otherwise stated.
URI: http://hdl.handle.net/11133/1745
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