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Free products of digroups

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Abstract

We construct the free products of arbitrary digroups, and thus we solve an open problem of Zhuchok.

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Acknowledgements

We thank very much the anonymous referee for his/her extremely careful reading of the original version of this article. The referee’s insightful comments and suggestions greatly improve the exposition of the article.

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Authors and Affiliations

  1. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510631, People’s Republic of China

    Guangliang Zhang

  2. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People’s Republic of China

    Yuqun Chen & Zerui Zhang

  3. International Center for Mathematics, SUSTech, Shenzhen, People’s Republic of China

    Yuqun Chen & Zerui Zhang

Authors
  1. Guangliang Zhang
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  2. Yuqun Chen
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  3. Zerui Zhang
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Correspondence to Zerui Zhang.

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Communicated by Presented by T. Stokes.

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The research of the second author was supported by the NNSF of China under grant no. 11571121 and 12071156. The third author was supported by the NNSF of China under grant no. 12101248, by the China Postdoctoral Science Foundation under grant no. 2021M691099 and by the Young Teacher Research Cultivation Foundation of South China Normal University under grant no. 20KJ02.

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Zhang, G., Chen, Y. & Zhang, Z. Free products of digroups. Algebra Univers. 83, 3 (2022). https://doi.org/10.1007/s00012-021-00761-2

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  • DOI: https://doi.org/10.1007/s00012-021-00761-2

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