Prime filtrations of monomial ideals and polarizations
| dc.creator | Jahan, Ali Soleyman | |
| dc.date | 2006-05-04 | |
| dc.date.accessioned | 2026-07-07T07:13:55Z | |
| dc.date.available | 2026-07-07T07:13:55Z | |
| dc.description | We show that all monomial ideals in the polynomial ring in at most 3 variables are pretty clean and that an arbitrary monomial ideal $I$ is pretty clean if and only if its polarization $I^p$ is clean. This yields a new characterization of pretty clean monomial ideals in terms of the arithmetic degree, and it also implies that a multicomplex is shellable if and only the simplicial complex corresponding to its polarization is (non-pure) shellable. We also discuss Stanley decompositions in relation to prime filtrations. | |
| dc.identifier | https://arxiv.org/abs/math/0605119 | |
| dc.identifier | http://arxiv.org/abs/math/0605119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112658 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D02; 13P10; 13D40; 13A02 | |
| dc.title | Prime filtrations of monomial ideals and polarizations | |
| dc.type | text |