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Tree Oriented Pullback
Authors:Viktor Bekkert  Flávio U Coelho
Institution:1. Departamento de Matemática , Universidade Federal de Minas Gerais , Belo Horizonte , Brazil;2. Departamento de Matemática (IME) , Universidade de S?o Paulo , S?o Paulo , Brazil
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.
Keywords:Bounded quiver  Finite dimensional algebra  Pullback  Tilted algebra
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