References
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.
Clifford, A.H., The fundamental representation of a regular semigroup, Semigroup Forum 10 (1975) 84–92.
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.
Hall, T.F., On orthodox semigroups and uniform and antiuniform bands, J. Algebra 16 (1970), 204–277.
Кочин, Б. П., Строение инверсных идеално простых ω- полугрупп, Бестник Ленинград.Унив. (1968), N°-7. 41–50.
Lallement, C. and M. Petrich, A generalization of the Rees theorem in semigroups, Acta Sci. Math. (Szeged) 30 (1969 ), 113–132.
Munn, W.D., Uniform semilattices and bisimple inverse semigroups, Quart. J. Math. Oxford Ser. (2) 17 (1966), 151–159.
Munn, W.D., Regular ω- semigroups, Glasgow Math. J. 9 (1968), 46–66.
Munn, W.D., On simple inverse semigroups, Semigroup Forum 1 (1970), 63–74.
Munn, W.D., O- bisimple inverse semigroups, J. Algebra 15 (1970), 570–588.
Nambooripad, B.S.S., Structure of regular semigroups, I. Fundamental regular semigroups, II. The general case, Semigroup Forum 9 (1975), 354–363, 364–371.
Nivat, M. and J.F. Perrot, Une généralisation du monoïde bicyclique, C.R. Acad. Sci. Paris, Série A, 271 (1970), 824–827.
Petrich, M., Structure of Regular Semigroups, Pennsylvania State University, 1973.
Reilly, N.R., Bisimple ω- semigroups, Proc. Glasgow Math. Assoc. 7 (1966), 160–167.
Warne, R.J., A class of bisimple inverse semigroups, Pacific J. Math. 18 (1966), 563–577.
Warne, R.J., Bisimple inverse semigroups mod groups, Duke Math. J. 34 (1967), 787–811.
Warne, R.J., I- bisimple semigroups, Trans. Amer. Math. Soc. 130 (1968), 367–386.
Warne, R.J., ωnI- bisimple semigroups, Acta Math. Acad. Sci. Hungar. 21 (1970), 121–150.
Warne, R.J., I- regular semigroups, Math. Japon. 15 (1970) 91–100.
Author information
Authors and Affiliations
Additional information
Communicated by O. Steinfeld
Rights and permissions
About this article
Cite this article
Szendrei, M. On the structure of orthodox semigroups. Semigroup Forum 13, 271–279 (1976). https://doi.org/10.1007/BF02194946
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02194946