التفاصيل البيبلوغرافية
| العنوان: |
Powers of monomial ideals and the Ratliff-Rush operation |
| المؤلفون: |
Oleksandra Gasanova |
| بيانات النشر: |
arXiv, 2019. |
| سنة النشر: |
2019 |
| مصطلحات موضوعية: |
Class (set theory), Pure mathematics, Monomial, Algebra and Number Theory, Mathematics::Commutative Algebra, polynomial rings, media_common.quotation_subject, 010102 general mathematics, Subject (philosophy), 010103 numerical & computational mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 01 natural sciences, Algebra and Logic, Ratliff–Rush operation, Computational Mathematics, Presentation, powers of monomial ideals, FOS: Mathematics, 0101 mathematics, Mathematics, media_common, Algebra och logik |
| الوصف: |
Powers of (monomial) ideals is a subject that still calls attraction in various ways. In this paper we present a nice presentation of high powers of ideals in a certain class in $\mathbb K[x_1, \ldots, x_n]$ and $\mathbb K[[x_1, \ldots, x_n]]$. As an interesting application it leads to an algorithm for computation of the Ratliff--Rush operation on ideals in that class. The Ratliff--Rush operation itself has several applications, for instance, if $I$ is a regular $\mathfrak m$-primary ideal in a local ring $(R,m)$, then the Ratliff--Rush associated ideal $\tilde I$ is the unique largest ideal containing $I$ and having the same Hilbert polynomial as $I$.
Comment: 25 pages, 3 figures |
| وصف الملف: |
application/pdf |
| DOI: |
10.48550/arxiv.1908.10185 |
| URL الوصول: |
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e0e5140e3dbbc417a07375ce18af05a |
| Rights: |
OPEN |
| رقم الانضمام: |
edsair.doi.dedup.....2e0e5140e3dbbc417a07375ce18af05a |
| قاعدة البيانات: |
OpenAIRE |