Decomposition of pointwise finite length modules over an essentially small category
Abstract
Given an essentially small category C \mathcal {C} , we show that any pointwise finite endo-length C \mathcal {C} -module is a direct sum of indecomposable C \mathcal {C} -modules, whose endomorphism algebra is local.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Rings
Modules
and Algebras
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 5 March 2026
- Language
- EN