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Abundant Semigroups with a Multiplicative Adequate Transversal

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Abstract

The aim of this paper is to investigate abundant semigroups with a multiplicative adequate transversal. Some properties and characterizations for such semigroups are obtained. In particular, we establish the structure of this class of abundant semigroups in terms of left normal bands, right normal bands and adequate semigroups with some simple compatibility conditions. Finally, we apply this structure to some special cases.

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Authors and Affiliations

  1. Department of Mathematics, Yunnan University,, Kunming, 650091, P. R. China

    Xiao Jiang Guo

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  1. Xiao Jiang Guo
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Additional information

This work is supported by the foundation of Yunnan University and also by the Natural Science Foundation of Yunnan Province

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Guo, X.J. Abundant Semigroups with a Multiplicative Adequate Transversal. Acta Math Sinica 18, 229–244 (2002). https://doi.org/10.1007/s101140200170

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  • DOI: https://doi.org/10.1007/s101140200170

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