Resumen de Extreme cycles. The center of a Leavitt path algebra
María G. Corrales García, Dolores Martín Barquero 
, Cándido Martín González , Mercedes Siles Molina , José F. Solanilla Hernández
In this paper we introduce new techniques in order to deepen into the structure of a Leavitt path algebra with the aim of giving a description of the center. Extreme cycles appear for the first time; they concentrate the purely infinite part of a Leavitt path algebra and, jointly with the line points and vertices in cycles without exits, are the key ingredients in order to determine the center of a Leavitt path algebra. Our work will rely on our previous approach to the center of a prime Leavitt path algebra.
