Atlas of Leavitt Path Algebras of small graphs

Details Atlas of Leavitt Path Algebras of small graphs Atlas of Leavitt Path Algebras of small graphs

2011-12-24

arxiv.org/abs/1112.5735v1

Mathematics

Rings and Algebras

Scientific paper

The aim of this work is the description of the isomorphism classes of all Leavitt path algebras coming from graphs satisfying Condition (Sing) with up to three vertices. In particular, this classification recovers the one achieved by Abrams et al. in the case of graphs whose Leavitt path algebras are purely infinite simple. The description of the isomorphism classes is given in terms of a series of invariants including the K_0 group, the socle, the number of loops with no exits and the number of hereditary and saturated subsets of the graph.

Affiliated with

Also associated with

No associations

Rating

Atlas of Leavitt Path Algebras of small graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Atlas of Leavitt Path Algebras of small graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Atlas of Leavitt Path Algebras of small graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591267