2006/02/13 by Lidia Angeleri Hügel, Hügel, Lidia Angeleri, Silvana Bazzoni +3
Mathematics · #13C10 (Primary) 13D07 16P70 (Secondary) #Commutative Algebra (math.AC) #Differential Equations and Boundary Problems #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13C10 #msc:13D07 #msc:16P70
paper · pdf · doi:10.48550/arxiv.math/0602272
arxiv created 2006/02/13 · openalex publication_date 2006/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be a commutative domain. We prove that an R-module B is projective if and only if Ext1(B,T)=0 for any torsion module T. This answers in the affirmative a question raised by Kaplansky in 1962.