@article{334c3ab9-5f98-48ab-9edc-183bf7053929,
author = {Zahra Barqsouz, Seadat Ollah Faramarzi},
title = {Local homology and Serre categories},
journal = {Universitatis Iagellonicae Acta Mathematica},
volume = {2019},
number = {Tom 56},
year = {2019},
issn = {0083-4386},
pages = {7-14},keywords = {Local homology; Serre category; Melkersson condition.},
abstract = {We show some results about local homology modules when they are in a Serre subcategory of the category of R-modules. For an ideal a of R, we also define the concept of the condition Ca on a Serre category, which seems dual to the condition Ca in Melkersson [1]. As a main result we show that for an Artinian R-module M and any Serre subcategory S of the category of R-modules and a non-negative integer s, HomR(R/a,Has (M)) ∈ S if Hai (M) ∈ S for all i > s.},
doi = {10.4467/20843828AM.19.001.12109},
url = {https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/local-homology-and-serre-categories}
}