TY - JOUR
TI - Local homology and Serre categories
AU - Barqsouz, Zahra
AU - Faramarzi, Seadat Ollah
TI - Local homology and Serre categories
AB - 
	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.
VL - 2019
IS - Tom 56
PY - 2019
SN - 0083-4386
C1 - 2084-3828
SP - 7
EP - 14
DO - 10.4467/20843828AM.19.001.12109
UR - https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/local-homology-and-serre-categories
KW - Local homology
KW - Serre category
KW - Melkersson condition.