Factorizations in numerical semigroup algebras

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:223

Article

Huang, I-Chiau¹  Jafari, Raheleh^2,3 

[1] Acad Sinica, Inst Math, 6F,Astron Math Bldg 1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan

[2] Kharazmi Univ, Mosaheb Inst Math, Tehran, Iran

[3] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

关键词: Apery monomial;    Complete intersection;    Factorization;    Flat;    Numerical semigroup;    Rectangle;   

DOI  :  10.1016/j.jpaa.2018.09.010

来源: Elsevier

【 摘 要 】

We study a numerical semigroup ring as an algebra over another numerical semigroup ring. The complete intersection property of numerical semigroup algebras is investigated using factorizations of monomials into minimal ones. The goal is to study whether a flat rectangular algebra is a complete intersection. Along this direction, special types of algebras generated by few monomials are worked out in detail. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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