Year: 2026
Type: preprint
Abstract: Let K be any field and E any directed graph. We investigate the existence of divisible non-injective left modules over the Leavitt path algebra L_K(E) for a broad class of graphs. Our main tool is a general criterion for divisibility that is particularly well suited to our setting.
Source: arXiv (Cornell University)
Authors: Barban, Mara, Tonolo, Alberto
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214021219