2005/05/30 by Dorin Popescu, Popescu, Dorin · 3 citations
Mathematics · #05E99 #13C13 #13C14 #16W70 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #math.CO #msc:05E99 #msc:13C13 #msc:13C14 #msc:16W70
paper · pdf · doi:10.48550/arxiv.math/0505655
10 pages
arxiv created 2005/05/30 · openalex publication_date 2005/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After [J.Herzog, D.Popescu, Finite filtrations of modules and shellable multicomplexes, Preprint IMAR no 4/2005, Bucharest, 2005], the shellability of multicomplexes Γ is given in terms of some special faces of Γ called facets. Here we give a criterion for the shellability in terms of maximal facets. Multigraded pretty clean filtration is the algebraic counterpart of a shellable multicomplex. We give also a criterion for the existence of a multigraded pretty clean filtration.