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Coefficient rings of numerical semigroup algebras

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Abstract

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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Acknowledgements

This work has been initiated during the visit of Raheleh Jafari to the Institute of Mathematics, Academia Sinica in 2018. The authors would like to thank the institute for the great hospitality and support.

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, 6F, Astronomy-Mathematics Building, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan, ROC

    I-Chiau Huang

  2. Mosaheb Institute of Mathematics, Kharazmi University, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran

    Raheleh Jafari

Authors
  1. I-Chiau Huang
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  2. Raheleh Jafari
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Correspondence to I-Chiau Huang.

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Communicated by Nathan Kaplan.

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Raheleh Jafari was in part supported by a Grant from IPM (No. 99130112).

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Huang, IC., Jafari, R. Coefficient rings of numerical semigroup algebras. Semigroup Forum 103, 899–915 (2021). https://doi.org/10.1007/s00233-021-10217-7

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  • DOI: https://doi.org/10.1007/s00233-021-10217-7

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