On restrictions of indecomposables of tame algebras
Tom 124 / 2011
Colloquium Mathematicum 124 (2011), 35-60 MSC: Primary 16G60; Secondary 16G20. DOI: 10.4064/cm124-1-4
We continue the study of ditalgebras, an acronym for “differential tensor algebras”, and of their categories of modules. We examine extension/restriction interactions between module categories over a ditalgebra and a proper subditalgebra. As an application, we prove a result on representations of finite-dimensional tame algebras $\varLambda $ over an algebraically closed field, which gives information on the extension/restriction interaction between module categories of some special algebras $\varLambda _0$, called convex in $\varLambda $.