Canonical modules of partially ordered sets

DOI10.1016/0021-8693(83)90131-XzbMath0512.06001OpenAlexW2009248809MaRDI QIDQ1839268

Kenneth Baclawski

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90131-x

zbMATH Keywords

frameschainscanonical modulecoloringgraded modulefinite simplicial complexfinite geometric latticeorder homologydoubly Cohen-Macaulay ringorder complex of finite posetStanley- Reisner ring

Mathematics Subject Classification ID

Partial orders, general (06A06) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semilattices (06A12)

Related Items

Brill-Noether theory of squarefree modules supported on a graph ⋮ Combinatorial decompositions of a class of rings ⋮ Glicci simplicial complexes ⋮ The canonical module of a Stanley-Reisner ring ⋮ Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings

Cites Work

• Combinatorial methods in the theory of Cohen-Macaulay rings
• Combinatorial decompositions of a class of rings
• Rings with lexicographic straightening law
• Cohen-Macaulay connectivity and geometric lattices
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)