On the Stanley depth of powers of some classes of monomial ideals
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866913334519922688 |
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| author | Cimpoeas, Mircea |
| author_facet | Cimpoeas, Mircea |
| contents | Given arbitrary monomial ideals $I$ and $J$ in polynomial rings $A$ and $B$ over a field $K$, we investigate the Stanley depth of powers of the sum $I+J$, and their quotient rings, in $A\otimes_K B$ in terms of those of $I$ and $J$. Our results can be used to study the asymptotic behavior of the Stanley depth of powers of a monomial ideal. For instance, we solved the case of monomial complete intersection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1512_08195 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | On the Stanley depth of powers of some classes of monomial ideals Cimpoeas, Mircea Commutative Algebra 13C15, 13P10, 13F20 Given arbitrary monomial ideals $I$ and $J$ in polynomial rings $A$ and $B$ over a field $K$, we investigate the Stanley depth of powers of the sum $I+J$, and their quotient rings, in $A\otimes_K B$ in terms of those of $I$ and $J$. Our results can be used to study the asymptotic behavior of the Stanley depth of powers of a monomial ideal. For instance, we solved the case of monomial complete intersection. |
| title | On the Stanley depth of powers of some classes of monomial ideals |
| topic | Commutative Algebra 13C15, 13P10, 13F20 |
| url | https://arxiv.org/abs/1512.08195 |