2009/06/22 by David J. Benson, D. J. Benson, Benson, D. J. +2 · 1 citation
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #Fuzzy and Soft Set Theory #Rings, Modules, and Algebras #math.AC #math.AT #msc:13C40 #msc:18E30
paper · pdf · doi:10.48550/arxiv.0906.4025
arxiv created 2009/06/22 · arxiv updated 2009/12/01
We propose a definition of when a triangulated category should be considered a complete intersection. We show (using work of Avramov and Gulliksen) that for the derived category of a complete local Noetherian commutative ring R, the condition on the derived category D(R) holds precisely when R is a complete intersection in the classical sense.