Coefficient rings of numerical semigroup algebras

被引：0
|
作者：
Huang, I-Chiau [1 ]
Jafari, Raheleh [2 ,3 ]
机构：
[1] Acad Sinica, Inst Math, 6F,Astron Math Bldg,1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
[2] Kharazmi Univ, Mosaheb Inst Math, POB 19395-5746, Tehran, Iran
[3] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源：
SEMIGROUP FORUM | 2021年 / 103卷 / 03期
关键词：
Coefficient ring; Frobenius monomial; Gap monomial; Irreducibility; Numerical semigroup algebra; Radical; Symmetry; ONE HALF;
D O I：
10.1007/s00233-021-10217-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Numerical semigroup rings are investigated from the relative viewpoint. It is known that algebraic properties such as singularities of a numerical semigroup ring are properties of a flat numerical semigroup algebra. In this paper, we show that arithmetic and set-theoretic properties of a numerical semigroup ring are properties of an equi-gcd numerical semigroup algebra.
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页码：899 / 915
页数：17
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