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Eisenbud, D. (2004) Commutative Algebra with a View toward Algebraic Geometry. Springer Science, Business Media, Inc.

has been cited by the following article:

• TITLE: Simplicial Complexes Which Are Minimal Cohen-Macaulay

  AUTHORS: Yanyan Wang, Tongsuo Wu

  KEYWORDS: Simplicial Complex, Cohen-Macaulay, Pure Shellable, f -Simplicial Complex

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.5, May 30, 2025

  ABSTRACT: Let Δ be a (d - 1)-dimensional pure f -simplicial complex over vertex set [n]. In this paper, it is proved that Δ being minimal CM implies d ≥ 3 and n = 2d. It is also indicated that shellable condition on a pure simplicial complex Δ is identical with existence of a full series of CM subcomplexes of Δ.