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The structure of superabundant semigroups

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Abstract

A structure theorem for superabundant semigroups in terms of semilattices of normalized Rees matrix semigroups over some cancellative monoids is obtained. This result not only provides a construction method for superabundant semigroups but also generalizes the well-known result of Petrich on completely regular semigroups. Some results obtained by Fountain on abundant semigroups are also extended and strengthened.

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Authors and Affiliations

  1. Department of Mathematics, Xi’an University of Architecture and Technology, 710055, Xi’an, China

    Xueming Ren

  2. Faculty of Science, The Chinese University of Hong Kong, Hong Kong, China

    K. P. Shum

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  1. Xueming Ren
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  2. K. P. Shum
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Correspondence to Xueming Ren or K. P. Shum.

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Ren, X., Shum, K.P. The structure of superabundant semigroups. Sci. China Ser. A-Math. 47, 756 (2004). https://doi.org/10.1360/03ys0081

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  • DOI: https://doi.org/10.1360/03ys0081

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