Artículos de revistas
On m-cluster tilted algebras and trivial extensions
Fecha
2013-01Registro en:
Fernández, Elsa Adriana; Pratti, Nilda Isabel; Trepode, Sonia Elisabet; On m-cluster tilted algebras and trivial extensions; Academic Press Inc Elsevier Science; Journal Of Algebra; 393; 1-2013; 132-141
0021-8693
CONICET Digital
CONICET
Autor
Fernández, Elsa Adriana
Pratti, Nilda Isabel
Trepode, Sonia Elisabet
Resumen
In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen as a trivial extension of another iterated tilted algebra which is derived equivalent to the original one. We give a procedure to find this new iterated tilted algebra. These m-cluster tilted algebras are quotients of higher relation extensions.