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LR-normal orthogroups

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Abstract

A new kind of regular orthogroups, namely, the LR-normal orthogroups is introduced and investigated. In particular, we will introduce the gearing techniques for fitting semigroup components on a semilattice in the construction of LR-normal orthogroups.

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References

  1. Petrich, M., A structure theorem for completely regular semigroups, Proc. Amer. Math. Soc., 1987, 99: 617–622.

    MATH  MathSciNet  Google Scholar 

  2. Ren, X. M., Shum, K. P., On generalized orthogroups, Comm. in Algebra, 2001, 29(6): 2341–2361.

    MathSciNet  Google Scholar 

  3. Petrich, M., Reilly, N. R., Completely Regular Semigroups, New York: Wiley-Interscience Publication, 1999.

    Google Scholar 

  4. Howie, J. M., An introduction to Semigroup Theory, London: Academic Press, 1976.

    Google Scholar 

  5. Howie, J. M., Fundamentals of Semigroup Theory, London: Oxford University Press, 1995.

    Google Scholar 

  6. Guo, Y. Q., Ren, X. M., Shum, K. P., Another structure of left C-semigroup, Adv. in Math. (in Chinese), 1995, 24(1): 39–43.

    MathSciNet  Google Scholar 

  7. Guo, Y. Q., Weakly left C-semigroups, Chin. Sci. Bull., 1996, 46(6): 462–467.

    Google Scholar 

  8. Guo, Y. Q., Shum, K. P., Zhu, P. Y., Some structure and several special cases of quasi-C-semigroups, Algebra Colloquium, 1999, 6: 105–120.

    MathSciNet  Google Scholar 

  9. Guo, Y. Q., Shum, K. P., Zhu, P. Y., The structure of left C-rpp semigroups, Semigroup Forum, 1995, 50: 9–23.

    MathSciNet  Google Scholar 

  10. Shum, K. P., Guo, Y. Q., Regular semigroups and its generalization, Lecture Notes in Pure & Applied Math., 1996, 181: 181–226.

  11. Zhu, P. Y., Guo, Y. Q., Shum, K. P., Structure and characterization of left C-semigroups, Science in China, Ser. A, 1992, 35(7): 791–805.

    MathSciNet  Google Scholar 

  12. Ren, X. M., Guo, Y. Q., Shum, K. P., On the structure of left C-quasi-regular semigroups, in Proceedings of the International Conference in Words, Languages and Combinatorics, Kyoto: World Scientific Inc, 1994, 341–364.

    Google Scholar 

  13. Clifford, A. H., Petrich, M., Some classes of completely regular semigroups, J. Algebra, 1977, 46: 462–480.

    Article  MathSciNet  Google Scholar 

  14. Petrich, M., Lectures in Semigroups, New York: John Wiley, 1977.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Southwest University, Chongqing, 400715, China

    Guo Yugi

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

    Shum K. P.

  3. Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta, 700019, India

    Sen M. K.

Authors
  1. Guo Yugi
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  2. Shum K. P.
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  3. Sen M. K.
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Correspondence to Guo Yugi.

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Guo, Y., Shum, K.P. & Sen, M.K. LR-normal orthogroups. SCI CHINA SER A 49, 330–341 (2006). https://doi.org/10.1007/s11425-006-0330-3

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  • DOI: https://doi.org/10.1007/s11425-006-0330-3

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