%0 Journal Article
%T Local homology and Serre categories
%A Barqsouz, Zahra
%A Faramarzi, Seadat Ollah
%J Universitatis Iagellonicae Acta Mathematica
%V 2019
%R 10.4467/20843828AM.19.001.12109
%N Tom 56
%P 7-14
%K Local homology, Serre category, Melkersson condition.
%@ 0083-4386
%D 2019
%U https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/local-homology-and-serre-categories
%X 
	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.

	2010 Mathematics Subject Classification. 13D45, 13M10; 13E15.