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- Title
LOCAL HOMOLOGY AND SERRE CATEGORIES.
- Authors
BARQSOUZ, ZAHRA; FARAMARZI, SEADAT OLLAH
- 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.
- Subjects
HOMOLOGY theory; MODULES (Algebra); MATHEMATICS; INTEGERS; PROJECTIVE modules (Algebra)
- Publication
Universitatis Iagellonicae Acta Mathematica, 2019, Vol 56, p7
- ISSN
0083-4386
- Publication type
Article
- DOI
10.4467/20843828AM.19.001.12109