Work

Leaps in the depth of compositions of irreducible morphisms

Year: 2026

Type: article

Abstract: In this article, we give a family of examples of algebras, showing that for every $$n \ge 2$$ n ≥ 2 and $$m \ge 0$$ m ≥ 0 , there is an algebra displaying a path of n irreducible morphisms between indecomposable modules whose composite lies in the $$(n+m+3)$$ ( n + m + 3 ) -th power of the radical, but not in the $$(n+m+4)$$ ( n + m + 4 ) -th power. Such an algebra may be also supposed to be string and representation-finite.

Source: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

DOI: 10.1007/s13366-026-00861-x

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: $3,190

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