SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY | ||
| Journal of Algebraic Systems | ||
| مقاله 16، دوره 7، شماره 2، فروردین 2020، صفحه 301-314 اصل مقاله (186.21 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2019.7430.1366 | ||
| نویسندگان | ||
| S. O. Faramarzi* ؛ Z. Barghsouz | ||
| Department of Mathematics, Payam Noor University (PNU), Tehran, Iran. | ||
| چکیده | ||
| We show some results about local homology modules and local cohomology modules concerning to being in a serre sub category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual to CI condition of Melkerson [1]. As a main result we show that for any minimax R-module M of any serre category S that satisifies CI (CI) condition the local homology module HiI(M) (local cohomology module HIi(M) 2 S) for all i ≥ 0. | ||
| کلیدواژهها | ||
| local homology؛ local cohomology؛ Serre category | ||
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آمار تعداد مشاهده مقاله: 563 تعداد دریافت فایل اصل مقاله: 901 |
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