Möbius function for modules and thin representations
arXiv:2403.05656
Abstract
This paper studies the Möbius function and related questions about the finiteness of the poset of submodules of semisimple and general modules. We show how to calculate the Möbius function for semisimple modules based on endomorphism rings of simple submodules. We discuss the Möbius function for representations of bounded path algebras in detail.
11 pages