Non quasitilted tilt-critical algebras

FLAVIO ULHOA COELHO; JOSE ANTONIO DE LA PEÑA; SONIA TREPODE

Colonia Uruguay

Congreso; XVI Coloquio Latinoamericano de Álgebra; 2005

A non-tilted triangular algebra such that any proper convex subcategory is tilted is called tilt-critical. In [9], we have characterized those tilt-critical algebras which are quasitilted. In this work we study tilt-critical algebras which are not quasitilted. In particular, we study tilt-critical algebras which are strict (weakly) shod. characterized those tilt-critical algebras which are quasitilted. In this work we study tilt-critical algebras which are not quasitilted. In particular, we study tilt-critical algebras which are strict (weakly) shod. tilt-critical. In [9], we have characterized those tilt-critical algebras which are quasitilted. In this work we study tilt-critical algebras which are not quasitilted. In particular, we study tilt-critical algebras which are strict (weakly) shod.