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Factorizations in numerical semigroup algebras |
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| Authors: | I-Chiau Huang Raheleh Jafari |
| Institution: | 1. Institute of Mathematics, Academia Sinica, 6F, Astronomy-Mathematics Building No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan, ROC;2. Mosaheb Institute of Mathematics, Kharazmi University, Tehran, Iran;3. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran |
| Abstract: | 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. |
| Keywords: | 13H10 14H20 20M25 Apéry monomial Complete intersection Factorization Flat Numerical semigroup Rectangle |
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