Tree Oriented Pullback

Viktor Bekkert Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil

Flávio U. Coelho Departamento de Matemática (IME), Universidade de São Paulo, São Paulo, Brazil

Heily Wagner Departamento de Matemática (IME), Universidade de São Paulo, São Paulo, BrazilCorrespondence[email protected]

Abstract

Given two epimorphisms of algebras A ↠ B and C ↠ B, we consider the pullback R. We introduce a particular class of algebras, the tree oriented pullback, where there is a close relationship between the category of indecomposable modules of these algebras. This leads us to prove that if A and C are hereditary algebras, then R is a tilted algebra.

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Notes

Communicated by D. Zacharia.

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