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Ample semigroups and Frobenius algebras

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Abstract

We prove that the semigroup algebra of an ample semigroup \(S\) over a field is Frobenius if and only if \(S\) is a finite inverse semigroup.

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Acknowledgments

This research is jointly supported by the National Natural Science Foundation of China (Grant 11361027); the Natural Science Foundation of Jiangxi Province and the Science Foundation of the Education Department of Jiangxi Province, China.

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Authors and Affiliations

  1. Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, People’s Republic of China

    Xiaojiang Guo

  2. Institute of Mathematics, Yunnan University, Kunming, Yunnan, 650091, People’s Republic of China

    K. P. Shum

Authors
  1. Xiaojiang Guo
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  2. K. P. Shum
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Corresponding author

Correspondence to K. P. Shum.

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Communicated by Mikhail Volkov.

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Guo, X., Shum, K.P. Ample semigroups and Frobenius algebras. Semigroup Forum 91, 213–223 (2015). https://doi.org/10.1007/s00233-015-9726-0

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  • DOI: https://doi.org/10.1007/s00233-015-9726-0

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