Sign in
Back
New notions in derived categories of local rings
Journal article   Open access  Peer reviewed

New notions in derived categories of local rings

M.A. Al Shumrani
Topology and its applications, Vol.157(5), pp.932-940
01/04/2010
DOI: https://doi.org/10.1016/j.topol.2009.12.009

Abstract

Atomic chain complex Core of chain complex Derived category Irreducible chain complex Minimal atomic chain complex Nuclear chain complex
In the derived category of a local commutative noetherian ring, we define irreducible chain complexes, atomic chain complexes, minimal atomic chain complexes and chain complexes having no mod m detectable homology. Also, we define nuclear chain complexes and core of chain complexes. After defining these notions, we establish the connection between them.
url
https://doi.org/10.1016/j.topol.2009.12.009View
Published (Version of record) Open

Metrics

1 Record Views

Details