Alberto
Tonolo, University of Padua
Title:
Injective envelopes of simple modules over a family of Leavitt
path algebras
Abstract: I
will shortly remember the definition of a Leavitt path algebras
(LPA) associated to a graph E
giving some
examples and properties. Assuming the graph E is finite and that
every vertex in E
is the
base of at most one cycle, I will explicitly construct the
injective envelope of each simple left module.
The talk is based on some very recent results obtained in
collaboration with Francesca Mantese and Gene Abrams.