2015/06/09 by Yichao Yang, Yang, Yichao, Jinde Xu +1
Mathematics · #16E10 #16G20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras #math.RT #msc:16E10 #msc:16G20
paper · pdf · doi:10.48550/arxiv.1506.03103
4 pages, 0 figure
openalex publication_date 2015/06/09 · arxiv created 2015/07/08 · arxiv updated 2015/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this short paper we prove that a finite dimensional algebra is hereditary if and only if there is no loop in its ordinary quiver and every τ-tilting module is tilting.