ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES | ||
Journal of Algebraic Systems | ||
مقاله 10، دوره 3، شماره 2، فروردین 2016، صفحه 217-225 اصل مقاله (129.06 K) | ||
نوع مقاله: Original Manuscript | ||
شناسه دیجیتال (DOI): 10.22044/jas.2015.620 | ||
نویسنده | ||
M. Hatamkhani* | ||
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran. | ||
چکیده | ||
Let $R$ be a commutative Noetherian ring, $fa$ an ideal of $R$ and $mathcal{D}(R)$ denote the derived category of $R$-modules. For any homologically bounded complex $X$, we conjecture that $sup {bf L}Lambda^{fa}(X)leq$ mag$_RX$. We prove this in several cases. This generalize the main result of Hatamkhani and Divaani-Aazar cite{HD} for complexes. | ||
کلیدواژهها | ||
Local cohomology modules؛ local homology modules؛ magnitude؛ Noetherian dimension | ||
آمار تعداد مشاهده مقاله: 1,650 تعداد دریافت فایل اصل مقاله: 1,548 |