SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
نویسندگان
1 Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
2 Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
doi
10.22044/jas.2019.7430.1366چکیده
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.