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Cohen-Macaulay Rings and Ideal Theory in Rings of Invariants of Algebraic Groups

Cohen-Macaulay Rings and Ideal Theory in Rings of Invariants of Algebraic Groups

Theorem. Let R be a commutative Noetherian ring with identity. Let M = $M = ({c_{ij}})$ be an s by s symmetric matrix with entries in R. Let I the be ideal of $t + 1$ by $t + 1$ minors of M. Suppose that the grade of I is …