SOME RESULTS ON GENERALIZED LOCAL COHOMOLOGY MODULES

作者：Vahidi Alireza^*; Aghapournahr Moharram

来源：Communications in Algebra, 2015, 43(5): 2214-2230.

DOI：10.1080/00927872.2014.891124

• Generalized local cohomology modules
• Serre subcategories
• 13D07
• 13D45

Let R be a commutative Noetherian ring with nonzero identity, ? an ideal of R, M a finite R-module, X an arbitrary R-module, and n a non-negative integer. Here, we show that, in the Serre subcategories of the category of R-modules, how the generalized local cohomology modules, the ordinary local cohomology modules, and the extension modules behave similarly at the initial points in. We conclude with some Artinianness and cofiniteness results for H-alpha(n)(M, X), and some finiteness results for Supp(R) (H-alpha(n) (M, X)) and Ass(R) (H-alpha(n) (M, X)).

• 出版日期2015