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Left coset extensions

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References

  1. ANDERSON, L. W. and HUNTER, R.P.Groups,homomorphisms and Green's relations, Proc. Intern. Conf. Theory of Groups (Canberra 1965), 1–5. Gordon and Breach, 1967

  2. CARRUTH, J.H.Building Sfrom , Second Florida Symposium on Automata and Semigroups, 18pp. Gainesville Fla. 1971.

  3. CLIFFORD, A.H.Semigropus admitting relative inverses. Ann. of Math. 2 (1941) 1037–1049.

    MATH  MathSciNet  Google Scholar 

  4. CLIFFORD, A.H. and PRESTON, G.B.The algebraic theory of semigroups, Vol. I. Math. Surveys no.7, Amer. Math. Soc., Providence R.I., 1961.

    Google Scholar 

  5. COUDBON, A.Sur les extensions de demi-groupes réciprooques. Bull. Soc. Roy. Sci. Liège 37 (1968) 409–419.

    Google Scholar 

  6. D'ALARCAO, H.Idempotent-separating extensions of inverse semigroups. J. Austral. Math. Soc. 9 (1969), 211–217.

    MATH  MathSciNet  Google Scholar 

  7. FORSYTHE, G.E.SWAC computes 126distinct semigroups of order 4. Proc. Amer. Math. Soc. 6 (1955) 443–447.

    MathSciNet  Google Scholar 

  8. [8]GRILLET, P.A.Subdirect decompositions of finitely generated commutative semigroups. Semigroup Forum 4 (1972) 242–247.

    MATH  MathSciNet  Google Scholar 

  9. ——,Building semigroups from groups (and reduced semigroups). Semigroup Forum 4 (1972) 327–334.

    MATH  MathSciNet  Google Scholar 

  10. —,A coherence theorem for Schützenberger groups. Submitted to J. Austral. Math. Soc.

  11. —The completion of finitely generated commutative semigroups. Submitted to J. Algebra.

  12. —Constructing all inverse semigroups (preliminaryreport). Symposium on Inverse Semigroups, Northern Ill. Univ. 1973, 34–43.

  13. — JOHN, C.C., Jr.The construction of finite commutative semigroups. Doct. Diss., Kansas State Univ. 1973.

  14. KOLIBIAROVÁ, B.On a product of semigroups. Mat.-Fiz. Casopis Slovensk. Akad. Vied 15 (1965) 304–312.

    MATH  Google Scholar 

  15. LALIEMENT, G.Demi-groupes réguliers. Ann. Mat. Pura ed Appl. (4) 77 (1967) 47–123.

    Google Scholar 

  16. ——Structure theorems for regular semigroups. Semigroup Forum 4 (1972) 95–123.

    MathSciNet  Google Scholar 

  17. LEECH, J.E.An extension of the theory of group extensions to the theory of monoids. Doct. Diss., Univ. Calif. Los Angeles, 1969.

  18. —H-coextensions and the structure of bands of groups. Mem. Amer. Math. Soc. (to appear).

  19. MACLANE, S. Homology. Springer, 1963.

  20. McALISTER, D.B.O-bisimple inverse semigroups. Proc. London Math. Soc. to appear).

  21. MUNN, W.D.Fundamental inverse semigroups. Quart. J. Math. Oxford (2) 21 (1970) 157–170.

    MATH  MathSciNet  Google Scholar 

  22. ——O-bisimple inverse semigroups. J. Algebra 15 (1970) 570–588.

    Article  MATH  MathSciNet  Google Scholar 

  23. —Some results on O-simple inverse semigroups. Symposium on Inverse Semigroups, Northern Ill. Univ. 1973, 109–121.

  24. PRESTON, G.B.Congruences on inverse semigroups. Second Florida Symposium on Automata and Semigroups, 4pp. Gainesville Fla. 1971.

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

    MATH  MathSciNet  Google Scholar 

  26. REILLY, N.R. and CLIFFORD, A.H.Bisimple inverse semigroups as semigroups of ordered triples. Canad. J. Math. 20 (1968) 25–39.

    MathSciNet  Google Scholar 

  27. ŠIRJAEV, V.M.Inverse semigroups with a given G-radical (Russian). Dokl. Akad. Nauk B.S.S.R. 1 (1970) 782–785.

    Google Scholar 

  28. TAMURA, T. et al.All semigroups of order at most five J. Gakugei Tokushima Univ. 6 (1955) 19–39.

    MATH  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  30. ——Bisimple inverse semigroups mod groups. Duke Math. J. 34 (1967) 787–811.

    Article  MATH  MathSciNet  Google Scholar 

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  1. Tulane University, 70118, New Orleans, Louisiana

    Pierre Antoine Grillet

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  1. Pierre Antoine Grillet
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Dedicated to Professor A. H. Clifford for his 65th birthday

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Grillet, P.A. Left coset extensions. Semigroup Forum 7, 200–263 (1974). https://doi.org/10.1007/BF02315974

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