Title: Weakly Regular and Self-Injective Leavitt Path Algebras Over Arbitrary Graphs.
Authors: Aranda Pino, Gonzalo; Rangaswamy, Kulumani; Siles Molina, Mercedes
Abstract: We characterize the Leavitt path algebras over arbitrary graphs which are weakly regular rings as well as those which are self-injective. In order to reach our goals we extend and prove several results on projective, injective and flat modules over Leavitt path algebras and, more generally, over (not necessarily unital) rings with local units.
Subjects: ALGEBRA; VON Neumann regular rings; MATHEMATICAL analysis; MATHEMATICS; GRAPHIC methods
Publication: Algebras & Representation Theory, 2011, Vol 14, Issue 4, p751
ISSN: 1386-923X
Publication type: Academic Journal
DOI: 10.1007/s10468-010-9215-9

Weakly Regular and Self-Injective Leavitt Path Algebras Over Arbitrary Graphs.

Aranda Pino, Gonzalo; Rangaswamy, Kulumani; Siles Molina, Mercedes