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Depths and Cohen–Macaulay properties of path ideals

✍ Scribed by Campos, Daniel; Gunderson, Ryan; Morey, Susan; Paulsen, Chelsey; Polstra, Thomas


Book ID
123372123
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
229 KB
Volume
218
Category
Article
ISSN
0022-4049

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📜 SIMILAR VOLUMES


Number of generators of a Cohen–Macaulay
✍ Hans Schoutens 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 88 KB

For a Noetherian local ring R, if R/a is Cohen-Macaulay, then the ideal a can be generated by at most (e -2)(νd -1) + 2 elements, where ν is the embedding dimension of R and where d and e 3 are the dimension and the multiplicity of R/a, respectively. This bound is in general much sharper than the bo