2002/07/09 by S. Caenepeel, Bin Zhu, Caenepeel, S. +1
Mathematics · #16D20 #16G60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16D20 #msc:16G60
paper · pdf · doi:10.48550/arxiv.math/0207077
14 pages
arxiv created 2002/07/09 · openalex publication_date 2002/07/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using approximations, we give several characterizations of separability of bimodules. We also discuss how separability properties can be used to transfer some representation theoretic properties from one ring to another one: contravariant finiteness of the subcategory of (finitely generated) left modules with finite projective dimension, finitistic dimension, finite representation type, Auslander algebra, tame or wild representation type.