Modules for Leavitt path algebras via extended algebraic branching systems
Abstract
For a graph E, we introduce the notion of an extended E-algebraic branching system, generalising the notion of an E-algebraic branching system introduced by Goncalves and Royer. We classify the extended E-algebraic branching systems and show that they induce modules for the corresponding Leavitt path algebra L(E). Among these modules we find a class of nonsimple modules whose endomorphism rings are fields.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.