Almost Gorenstein homogeneous rings and their h-vectors

JOURNAL OF ALGEBRA

卷:456

Article

Higashitani, Akihiro¹ 

[1] Kyoto Sangyo Univ, Dept Math, Kita Ku, Kyoto 6038555, Japan

关键词: Almost Gorenstein;    Cohen-Macaulay;    Gorenstein;    h-vector;    Homogeneous domain;   

DOI  :  10.1016/j.jalgebra.2016.02.023

来源: Elsevier

【 摘 要 】

In this paper, for the development of the study of almost Gorenstein graded rings, we discuss some relations between almost Gorensteinness of Cohen-Macaulay homogeneous rings and their h-vectors. Concretely, for a Cohen-Macaulay homogeneous ring R, we give a sufficient condition for R to be almost Gorenstein in terms of the h-vector of R (Theorem 3.1) and we also characterize almost Gorenstein homogeneous domains with small socle degrees in terms of the h-vector of R (Theorem 4.4). Moreover, we also provide the examples of almost Gorenstein homogeneous domains arising from lattice polytopes. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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