1999/12/08 by Jie Du, Du, Jie
Mathematics · Physics and Astronomy · #16E10 #16S80 #20C20 #20C30 #20G05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.QA #math.RA #math.RT #msc:16E10 #msc:16S80 #msc:20C20 #msc:20C30 #msc:20G05
paper · pdf · doi:10.48550/arxiv.math/9912061
15 pages
arxiv created 1999/12/08 · openalex publication_date 1999/12/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the notion of a cellular system in order to deal with quasi-hereditary algebras. We shall prove that a necessary and sufficient condition for an algebra to be quasi-hereditary is the existence of a full divisible cellular system. As a further application, we prove that the existence of a full local cellular system is a sufficient condition for a standardly stratified algebra.