Let k be a perfect field and S the quotient ring of a polynomial ring k[X1,...,Xt] with respect to a prime ideal. Let I be a prime ideal of S such that R=S/I is an almost complete intersection. Then, in his paper , Matsuoka proves that the homological dimension of the differential module ΩR/Kis infinite under the assumption that R is Cohen-Macaulay and I2 is a primary idea]. In this paper we prove that the result is valid without the above assumption.
KeywordsNumber Theory Algebraic Geometry Prime Ideal Topological Group Complete Intersection
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