Stability of depths of symbolic powers of Stanley–Reisner ideals
| Autor: | Tran Nam Trung, Kyouko Kimura, Naoki Terai, Le Tuan Hoa |
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| Rok vydání: | 2017 |
| Předmět: |
Algebra and Number Theory
Mathematics::Commutative Algebra 010102 general mathematics Monomial ideal 0102 computer and information sciences Square-free integer Codimension Function (mathematics) Depth function 01 natural sciences Stability (probability) Combinatorics 010201 computation theory & mathematics 0101 mathematics Quotient ring Mathematics |
| Zdroj: | Journal of Algebra. 473:307-323 |
| ISSN: | 0021-8693 |
| Popis: | We give a bound for n 0 ( I ) from which the depth function depth R / I ( n ) of the quotient ring by symbolic powers of a squarefree monomial ideal I stabilizes. In the unmixed codimension two case we show that depth R / I ( n ) is a non-increasing function of n and use this property to provide a sharp bound for n 0 ( I ) . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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