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math.RT2016
Shapes of Auslander-Reiten Triangles
Edson Ribeiro Alvares, Sônia Maria Fernandes, Hernán Giraldo
Our main theorem classifies the Auslander-Reiten triangles according to properties of the morphisms involved. As a consequence, we are able to compute the mapping cone of an irredu…
math.RT2013★ 1 cited
The Phi-dimension: A new homological measure
Sonia Fernandes, Marcelo Lanzilotta, Octavio Mendoza
K. Igusa and G. Todorov introduced two functions and which are natural and important homological measures generalising the notion of the projective dimension. These Igusa-…