In this paper we study the precise relation between two representations of a given split finite basic dimensional algebra A as a factor of the free path algebra over its quiver (A). After defining the notion of strongly acyclic quiver, we apply the results obtained to develop a method of calculating the group Aut(A)/Inn(A) in the case when (A) is strongly acyclic.
@article{urn:eudml:doc:41762,
title = {Isomorphisms between representations of algebras.},
journal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
pages = {955-964},
mrnumber = {MR1210028},
zbl = {0794.16014},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41762}
}
Saorín, Manuel. Isomorphisms between representations of algebras.. Publicacions Matemàtiques, Tome 36 (1992) pp. 955-964. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41762/