Combinatorial properties of ``cleanness

DOI10.1006/jabr.1994.1191zbMath0855.13013OpenAlexW2026935521MaRDI QIDQ1330037

Robert Samuel Simon

Publication date: 16 August 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1191

zbMATH Keywords

simplicial complexesclean modulecomposition series of a finitely generated module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Singular homology and cohomology theory (55N10)

Related Items (16)

Partition and Cohen-Macaulay extenders ⋮ k-Decomposable Monomial Ideals ⋮ Finite filtrations of modules and shellable multicomplexes ⋮ Decomposable clutters and a generalization of Simon's conjecture ⋮ Completing and extending shellings of vertex decomposable complexes ⋮ Extendable shellability for \(d\)-dimensional complexes on \(d+3\) vertices ⋮ Linear extensions and shelling orders ⋮ Non-ridge-chordal complexes whose clique complex has shellable Alexander dual ⋮ Noether normalizations, reductions of ideals, and matroids ⋮ Uniform bounds on multigraded regularity ⋮ Exposed circuits, linear quotients, and chordal clutters ⋮ Vertex decomposability of complexes associated to forests ⋮ Toric initial ideals of \(\Delta\)-normal configurations: Cohen-Macaulayness and degree bounds ⋮ Shellings from relative shellings, with an application to NP-completeness ⋮ Chordality of clutters with vertex decomposable dual and ascent of clutters ⋮ Completing and Extending Shellings of Vertex Decomposable Complexes

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