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Cohen–Macaulayness and sequentially Cohen–Macaulayness of monomial ideals
| Content Provider | Semantic Scholar |
|---|---|
| Author | Noormohammadi, Hassan Rahimi, Ahad |
| Copyright Year | 2018 |
| Abstract | In this paper, we give a characterization for Cohen–Macaulay rings R/I where I ⊂ R = K[y1, . . . , yn] is a monomial ideal which satisfies bigsize I = size I. Next, we let S = K[x1, . . . , xm, y1, . . . , yn] be a polynomial ring and I ⊂ S a monomial ideal. We study the sequentially Cohen–Macaulayness of S/I with respect to Q = (y1, . . . , yn). Moreover, if I ⊂ R is a monomial ideal such that the associated prime ideals of I are in pairwise disjoint sets of variables, a classification of R/I to be sequentially Cohen–Macaulay is given. Finally, we compute grade(Q,M) where M is a sequentially Cohen–Macaulay S-module with respect to Q. Mathematics Subject Classification (2010). 13C14, 13F20, 13P20. |
| Starting Page | 221 |
| Ending Page | 236 |
| Page Count | 16 |
| File Format | PDF HTM / HTML |
| DOI | 10.4171/rsmup/140-9 |
| Volume Number | 140 |
| Alternate Webpage(s) | http://rendiconti.math.unipd.it/forthcoming/downloads/NoormohammadiRahimi_logo.pdf |
| Alternate Webpage(s) | https://doi.org/10.4171/rsmup%2F140-9 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
