Document Details Document Type : Article In Journal  Document Title : New notions in derived categories of local rings New notions in derived categories of local rings   Subject : Mathematics  Document Language : English  Abstract : 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.  ISSN : 01668641  Journal Name : Topology and its Applications  Volume : 157  Issue Number : 5  Publishing Year : 1431 AH 2010 AD  Article Type : Article  Added Date : Saturday, April 10, 2010  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email محمد احمد الشمراني Al-Shomrani, mohammad Ahmed Researcher Doctorate maalshmrani1@kau.edu.sa Files File Name Type Description  26369.pdf pdf Abstract Back To Researches Page