BILKENT
ALGEBRA-TOPOLOGY SEMINAR

"Two-sided Chain Conditions in Leavitt Path Algebras"

By

Pınar Çolak

Abstract: Let E be an arbitrary graph, and K any field. We provide an
explicit definition of a set of generators for any two-sided ideal I of the
Leavitt path algebra L_K(E). Then we use this
description to to classify the two-sided noetherian Leavitt path algebras associated to arbitrary
graphs. These two results are extensions of similar known results in the
row-finite case. Finally, we classify the two-sided artinian
Leavitt path algebras over arbitrary graphs. This is joint work with Dr. Gene
Abrams, Dr. Jason P. Bell and Dr. Kulumani M. Rangaswamy.

Tea and cookies will be served before the
seminar.

Date:
Friday, July 22, 2011

Time: 13.40-14.30

Place: Mathematics Seminar Room,
SA-141