Polarization and spreading of monomial ideals
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arXiv
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866916228399890432 |
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| author | Cimpoeas, Mircea |
| author_facet | Cimpoeas, Mircea |
| contents | We characterize the monomial ideals $I\subset K[x_1,\ldots,x_n]$ with the property that the polarization $I^p$ and $I^{σ^n}:=$ the ideal obtained from $I$ by the $n$-th iterated squarefree operator $σ$ are isomorphic via a permutation of variables. We give several methods to construct such ideals. We also compare the depth and sdepth of $I$ and $I^{σ^n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_05028 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Polarization and spreading of monomial ideals Cimpoeas, Mircea Commutative Algebra 05E40, 13A15 We characterize the monomial ideals $I\subset K[x_1,\ldots,x_n]$ with the property that the polarization $I^p$ and $I^{σ^n}:=$ the ideal obtained from $I$ by the $n$-th iterated squarefree operator $σ$ are isomorphic via a permutation of variables. We give several methods to construct such ideals. We also compare the depth and sdepth of $I$ and $I^{σ^n}$. |
| title | Polarization and spreading of monomial ideals |
| topic | Commutative Algebra 05E40, 13A15 |
| url | https://arxiv.org/abs/1807.05028 |