2006/03/13 by Ryo Takahashi, Takahashi, Ryo
Mathematics · #13C05 #13C13 #13D02 #16D90 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13C05 #msc:13C13 #msc:13D02 #msc:16D90
paper · pdf · doi:10.48550/arxiv.math/0603286
22 pages, to appear in Journal of Pure and Applied Algebra
arxiv created 2006/03/13 · openalex publication_date 2006/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper gives a new approximation theory for finitely generated modules over commutative Noetherian rings, which unifies two famous approximation theorems; one is due to Auslander and Bridger and the other is due to Auslander and Buchweitz. Modules admitting such approximations shall be studied.