Local Cohomology Modules and their Properties

Autor: Masoumeh Hasanzad, Jafar A'zami
Rok vydání: 2021
Předmět:
Zdroj: Ukrainian Mathematical Journal. 73:311-319
ISSN: 1573-9376
0041-5995
DOI: 10.1007/s11253-021-01924-z
Popis: Let (R,m) be a complete Noetherian local ring and let M be a generalized Cohen–Macaulay R-module of dimension d ≥ 2. We show that $$ D\left({H}_m^d\left(D\left({H}_m^d\left({D}_m(M)\right)\right)\right)\right)\approx {D}_m(M), $$ where D = Hom(−,E) and Dm(−) is the ideal transform functor. In addition, by assuming that I is a proper ideal of a local ring R, we obtain some results on finiteness of the Bass numbers, cofiniteness, and cominimaxness of the local cohomology modules with respect to I.
Databáze: OpenAIRE