On the representation type of certain trivial extensions
Author
Novoa Bustos, Cristián
Peña, José Antonio de la
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/150110.4067/S0716-09172001000300005
Abstract
Let A ?= kQ/I be a basic and connected finite dimension algebra over closed field k. In this note show that in case B = A[M] is a tame one-point extension of a tame concealed algebra A by an indecomposable module M, then the trivial extension T(B) = B ? DB is tame if and only if the module M is regular.