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On a Class of Dubreil-Jacotin Semigroups

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Abstract

The aim of this paper is to study a class of strong Dubreil-Jacotin semigroups, so-called split integral Dubreil-Jacotin semigroups. We establish the structure of split integral Dubreil-Jacotin semigroups in terms of the cartesian ordered semidirect product of an ordered monoid and an ordered group. Also, the lexicographic ordered semidirect product is considered. These results extend main results in [1].

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Authors and Affiliations

  1. National Key Lab. of Integrated Service Networks, Mail Box 119, Xidian University, Xi’an, Shanxi 710071 and Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, P.R. of China

    Huawei Huang

  2. Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330, P.R. of China

    Chunhua Li

  3. School of Basic Sciences, East China Jiaotong University, Nanchang, Jiangxi 330013, P.R. of China

    Yongqian Zhu

  4. College of Mathematics & Computational Science, University of Petroleum, Dongying, Shandong 257061, P.R. of China

    Xiaoping Li

Authors
  1. Huawei Huang
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  2. Chunhua Li
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  3. Yongqian Zhu
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  4. Xiaoping Li
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Correspondence to Huawei Huang.

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Huang, H., Li, C., Zhu, Y. et al. On a Class of Dubreil-Jacotin Semigroups. Semigroup Forum 70, 252–262 (2005). https://doi.org/10.1007/s00233-004-0157-6

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  • DOI: https://doi.org/10.1007/s00233-004-0157-6

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