تقرير
A Northcott type inequality for Buchsbaum-Rim coefficients
| العنوان: | A Northcott type inequality for Buchsbaum-Rim coefficients |
|---|---|
| المؤلفون: | Jayanthan, A. V., R, Balakrishnan |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, 13D40, 13A30 |
| الوصف: | In 1960, D.G. Northcott proved that if $e_0(I)$ and $e_1(I)$ denote zeroth and first Hilbert-Samuel coefficients of an $\mathfrak m$-primary ideal $I$ in a Cohen-Macaulay local ring $(R,\mathfrak m)$, then $e_0(I)-e_1(I)\le \ell (R/I)$. In this article, we study an analogue of this inequality for Buchsbaum-Rim coefficients. We prove that if $(R,\mathfrak m)$ is a two dimensional Cohen-Macaulay local ring and $M$ is a finitely generated $R$-module contained in a free module $F$ with finite co-length, then $br_0(M)-br_1(M)\le \ell (F/M)$, where $br_0(M)$ and $br_1(M$) denote zeroth and first Buchsbaum-Rim coefficients respectively. Comment: 16 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1505.01251 |
| رقم الأكسشن: | edsarx.1505.01251 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |