تقرير
The reduction number of stretched ideals
| العنوان: | The reduction number of stretched ideals |
|---|---|
| المؤلفون: | Ozeki, Kazuho |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, Primary:13A30, Secondary: 13H10, 13D40 |
| الوصف: | The homological property of the associated graded ring of an ideal is an important problem in commutative algebra and algebraic geometry. In this paper we explore the almost Cohen-Macaulayness of the associated graded ring of stretched $\mathfrak{m}$-primary ideals in the case where the reduction number attains almost minimal value in a Cohen-Macaulay local ring $(A,\mathfrak{m})$. As an application, we present complete descriptions of the associated graded ring of stretched $\mathfrak{m}$-primary ideals with small reduction number. Comment: 22 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2109.12918 |
| رقم الأكسشن: | edsarx.2109.12918 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |