We study the Gorenstein locus of simplicial affine semigroup rings in terms of some Apery sets. The results come from an analysis of Cohen-Macaulay type of homogeneous localizations at monomial prime ideals. Characterizing when the homogeneous localization at a monomial prime ideal is Gorenstein, ...
naturally defined simplicial complexesmultiple suspensioncanonical Alexander dualsemigroup ringscanonical modulesproofCohen-Macaulay rings X Dong - 《Discrete & Computational Geometry》 被引量: 11发表: 2002年 On the Gorenstein locus of simplicial affine semigroup rings (vol 50, pg 4032, 2022) The Cohen...
become important in the theory of Stanley-Reisner rings, since it is closely related to non-pure shellability and shifting of simplicial complexes (c.f. [17, 3]). Among other things, we show that the sequentially Cohen-Macaulay property of K[∆] is a topological property of the “geomet...
The characterization in the graded setting is via the Cohen–Macaulay property of certain posets or simplicial complexes, and in the more general nongraded setting, via the sequential Cohen–Macaulay property.doi:10.1016/j.aim.2010.02.005Reiner, Victor...
doi:10.1080/00927872.2022.2115055Apéry setGorenstein ringssimplicial affine semigroupThe Cohen-Macaulay condition is added to the statements of Proposition 3.3 and Corollary 3.4. We also correct some small typos.Taylor And FrancisCommunications in Algebra...
J. Herzog and T. Hibi, Castelnuovo-Mumford regularity of simplicial semi- group rings with isolated singularity, Proc. Amer. Math. Soc., 131 (2003), pp. 2641-2647 (electronic).J. Herzog and T. Hibi, Castelnuovo-Mumford regularity of simplicial semigroup rings with isolated singularity, Proc...