Title:  A sufficient condition for covering ideals.

Abstract:  The concepts of envelope and cover were introduced independently by Enochs and Auslander-Smalo  for classes of modules. Since then the definition has been applied to di fferent classes of categories. One of the recent application was introduced by Asensio, Herzog, Fu and Torrecillas where the theory of covers and envelopes is extended to ideals. In this talk, we will show how identifying an ideal I with a certain class of objects in the quiver A_2 can help us to obtain su fficient conditions for I to be a covering ideal.