Oh-Jin Kang, Hyuong-J. Ko
Abstract
We classify complete intersections I of grade 3 in a regular local ring (R, M) by the number of minimal generators of a minimal prime ideal P over I. Here P is either a complete intersection or a Gorenstein ideal which is not a compete intersection.
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We classify complete intersections I of grade 3 in a regular local ring (R, M) by the number of minimal generators of a minimal prime ideal P over I. Here P is either a complete intersection or a Gorenstein ideal which is not a compete intersection.
Key concepts: Mathematics, Intersection (aeronautics), Ideal (ethics), Complete intersection, Prime (order theory), Combinatorics, Discrete mathematics, Prime ideal