Uniformly Cohen-Macaulay simplicial complexes and almost Gorenstein* simplicial complexes

DOI10.1016/j.jalgebra.2016.02.005zbMath1342.13031arXiv1405.7438OpenAlexW2963536907MaRDI QIDQ267382

Naoyuki Matsuoka, Satoshi Murai

Publication date: 8 April 2016

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

Full work available at URL: https://arxiv.org/abs/1405.7438

zbMATH Keywords

Stanley-Reisner ringsalmost Gorenstein ringsuniformly Cohen-Macaulay simplicial complexes

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14)

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Almost Gorenstein homogeneous rings and their \(h\)-vectors ⋮ Which Properties of Stanley–Reisner Rings and Simplicial Complexes are Topological? ⋮ SYMMETRIC DECOMPOSITIONS, TRIANGULATIONS AND REAL‐ROOTEDNESS ⋮ The h -vectors of the edge rings of a special family of graphs ⋮ Levelness versus nearly Gorensteinness of homogeneous rings ⋮ The type defect of a simplicial complex ⋮ Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes ⋮ Almost Gorenstein rings arising from fiber products ⋮ On the sequentially Cohen–Macaulay properties of almost complete multipartite graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Almost Gorenstein rings
• Buchsbaum\(^*\) complexes
• The canonical module of a Stanley-Reisner ring
• Topological results in combinatorics
• On the Hilbert function of a graded Cohen-Macaulay domain
• Cohen-Macaulay quotients of polynomial rings
• One-dimensional almost Gorenstein rings
• Cohen-Macaulay connectivity and geometric lattices
• Combinatorics and commutative algebra.
• Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
• Almost Gorenstein rings - towards a theory of higher dimension
• Combinatorial algebraic topology