Pseudo-Frobenius numbers versus defining ideals in numerical semigroup rings

被引：6

作者：

Goto, Shiro ^{[1
]}

Do Van Kien ^{[2
]}

Matsuoka, Naoyuki ^{[1
]}

Hoang Le Truong ^{[3
,4
]}

机构：

[1] Meiji Univ, Sch Sci & Technol, Dept Math, Tama Ku, 1-1-1 Higashi Mita, Kawasaki, Kanagawa 2148571, Japan

[2] Hanoi Pedag Univ 2, Dept Math, Vinh Phuc, Vietnam

[3] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi 10307, Vietnam

[4] Univ Saarland, Math & Informat, Campus E2 4, D-66123 Saarbrucken, Germany

来源：

JOURNAL OF ALGEBRA | 2018年 / 508卷

关键词：

Cohen-Macaulay ring; Gorenstein ring; Almost Gorenstein ring; GORENSTEIN RINGS; ELEMENTS;

D O I：

10.1016/j.jalgebra.2018.04.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The structure of the defining ideal of the semigroup ring k[H] of a numerical semigroup H over a field k is described, when the pseudo-Frobenius numbers of H are multiples of a fixed integer. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1 / 15

页数：15

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