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Epigroups in which the operation of taking pseudo-inverse is an endomorphism

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Abstract

The purpose of the paper is to find a characterization of the epigroups mentioned in the title in terms of forbidden divisors, which solves a problem posed by L.N. Shevrin.

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Acknowledgements

The author sincerely thanks Prof. L.N. Shevrin for giving plenty of ideas and guidance on the author’s research work, and many valuable suggestions and remarks on the paper, which improve the presentation of this paper. The author also thanks an anonymous referee who detected some shortcomings in the original version of this paper.

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Authors and Affiliations

  1. School of Sciences, Linyi University, Linyi, 276005, Shandong, P.R. China

    Jingguo Liu

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  1. Jingguo Liu
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Correspondence to Jingguo Liu.

Additional information

Communicated by Lev Shevrin.

Supported by Shandong Province Natural Science Foundation No. ZR2010AL004.

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Liu, J. Epigroups in which the operation of taking pseudo-inverse is an endomorphism. Semigroup Forum 87, 627–638 (2013). https://doi.org/10.1007/s00233-013-9492-9

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  • DOI: https://doi.org/10.1007/s00233-013-9492-9

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