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On the structure of orthodox semigroups

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References

  1. Clifford, A.H. and G.B. Preston, The Algebraic Theory of Semigroups, Vol. I., II., Math. Surveys No. 7, Amer. Math. Soc., Providence, R.I., 1961, 1967.

    MATH  Google Scholar 

  2. Clifford, A.H., The fundamental representation of a regular semigroup, Semigroup Forum 10 (1975) 84–92.

    Article  MathSciNet  Google Scholar 

  3. Grillet, P.A., The structure of regular semigroups, I. A representation, II. Cross connections, III. The reduced case, IV. The general case, Semigroup Forum 8 (1974), 177–183, 254–259, 260–265, 368–373.

    Article  MathSciNet  Google Scholar 

  4. Hall, T.F., On orthodox semigroups and uniform and antiuniform bands, J. Algebra 16 (1970), 204–277.

    Article  MathSciNet  Google Scholar 

  5. Кочин, Б. П., Строение инверсных идеално простых ω- полугрупп, Бестник Ленинград.Унив. (1968), N°-7. 41–50.

  6. Lallement, C. and M. Petrich, A generalization of the Rees theorem in semigroups, Acta Sci. Math. (Szeged) 30 (1969 ), 113–132.

    MathSciNet  MATH  Google Scholar 

  7. Munn, W.D., Uniform semilattices and bisimple inverse semigroups, Quart. J. Math. Oxford Ser. (2) 17 (1966), 151–159.

    Article  MathSciNet  Google Scholar 

  8. Munn, W.D., Regular ω- semigroups, Glasgow Math. J. 9 (1968), 46–66.

    Article  MathSciNet  Google Scholar 

  9. Munn, W.D., On simple inverse semigroups, Semigroup Forum 1 (1970), 63–74.

    Article  MathSciNet  Google Scholar 

  10. Munn, W.D., O- bisimple inverse semigroups, J. Algebra 15 (1970), 570–588.

    Article  MathSciNet  Google Scholar 

  11. Nambooripad, B.S.S., Structure of regular semigroups, I. Fundamental regular semigroups, II. The general case, Semigroup Forum 9 (1975), 354–363, 364–371.

    Article  Google Scholar 

  12. Nivat, M. and J.F. Perrot, Une généralisation du monoïde bicyclique, C.R. Acad. Sci. Paris, Série A, 271 (1970), 824–827.

    MathSciNet  MATH  Google Scholar 

  13. Petrich, M., Structure of Regular Semigroups, Pennsylvania State University, 1973.

  14. Reilly, N.R., Bisimple ω- semigroups, Proc. Glasgow Math. Assoc. 7 (1966), 160–167.

    Article  MathSciNet  Google Scholar 

  15. Warne, R.J., A class of bisimple inverse semigroups, Pacific J. Math. 18 (1966), 563–577.

    Article  MathSciNet  Google Scholar 

  16. Warne, R.J., Bisimple inverse semigroups mod groups, Duke Math. J. 34 (1967), 787–811.

    Article  MathSciNet  Google Scholar 

  17. Warne, R.J., I- bisimple semigroups, Trans. Amer. Math. Soc. 130 (1968), 367–386.

    MathSciNet  MATH  Google Scholar 

  18. Warne, R.J., ωnI- bisimple semigroups, Acta Math. Acad. Sci. Hungar. 21 (1970), 121–150.

    Article  MathSciNet  Google Scholar 

  19. Warne, R.J., I- regular semigroups, Math. Japon. 15 (1970) 91–100.

    MathSciNet  MATH  Google Scholar 

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Communicated by O. Steinfeld

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Szendrei, M. On the structure of orthodox semigroups. Semigroup Forum 13, 271–279 (1976). https://doi.org/10.1007/BF02194946

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