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Construction of Cohen–Macaulay Binomial Edge Ideals

✍ Scribed by Rauf, Asia; Rinaldo, Giancarlo


Book ID
121327684
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
219 KB
Volume
42
Category
Article
ISSN
0092-7872

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Sequentially Cohen-Macaulay edge ideals
✍ Francisco, Christopher A.; Van Tuyl, Adam 📂 Article 📅 2007 🏛 American Mathematical Society 🌐 English ⚖ 210 KB
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