Cohen-Macaulay Rings and Ideal Theory in Rings of Invariants of Algebraic Groups
Open Access
- 1 July 1974
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 194, 115-129
- https://doi.org/10.2307/1996796
Abstract
Theorem. Let R be a commutative Noetherian ring with identity. Let M = <!-- MATH $M = ({c_{ij}})$ --> be an s by s symmetric matrix with entries in R. Let I the be ideal of by minors of M. Suppose that the grade of I is as large as possible, namely, gr <!-- MATH $I = g = s(s + 1)/2 - st + t(t - 1)/2$ --> . Then I is a perfect ideal, so that is Cohen Macaulay if R is.
Keywords
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