Work

On Riedtmann’s well-behaved functors and applications to composites of irreducible morphisms

Year: 2026

Type: article

Abstract: In this survey, we summarize some results in the literature involving the mesh category, which is a combinatorial representation of the category of modules over a finite-dimensional associative algebra. We discuss Riedtmann’s well-behaved functors, which compare the mesh category with the module category, and discuss how the properties of these functors can be applied to study the problem of composing irreducible morphisms, which is the problem of deciding when the composition of n irreducible morphisms is non-zero and lies on the ( $$n+1$$ n + 1 )-th power of the radical.

Source: São Paulo Journal of Mathematical Sciences

DOI: 10.1007/s40863-026-00553-3

Authors: Viktor Chust, Flávio U. Coelho

Institution: Universidade de São Paulo

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico