M\"obius function for modules and thin representations
Rings and Algebras
2024-12-16 v2
Abstract
This paper studies the M\"obius function and related questions about the finiteness of the poset of submodules of semisimple and general modules. We show how to calculate the M\"obius function for semisimple modules based on endomorphism rings of simple submodules. We discuss the M\"obius function for representations of bounded path algebras in detail.
Keywords
Cite
@article{arxiv.2403.05656,
title = {M\"obius function for modules and thin representations},
author = {Dominik Krasula},
journal= {arXiv preprint arXiv:2403.05656},
year = {2024}
}
Comments
11 pages