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On right self-injective regular semigroups

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References

  1. Berthiaume, P.,The injective envelope of S-set, Canad. Math. Bull., 10 (1967), 261–273.

    MATH  MathSciNet  Google Scholar 

  2. Birkhoff, G.,Lattice theory, Amer. Math. Soc. Colloq. Publ. XXV, 3rd ed. Providence, R. I., 1967.

  3. Clifford, A. H. and G. B. Preston,Algebraic theory of semigroups, Vol. 1, Math. Surveys, No. 7, Amer. Math. Soc., Providence, R. I., 1961.

    MATH  Google Scholar 

  4. Feller, E. H. and R. L. Gantos,Completely injective semigroups, Pacific J. Math. 31 (1969), 359–366.

    MATH  MathSciNet  Google Scholar 

  5. Fountain, J. B.,Completely right injective semigroups, Proc. London Math. Soc., 28 (1974), 28–44.

    Article  MATH  MathSciNet  Google Scholar 

  6. Isbell, J. R.,Beatific semigroups, J. Algebra, 23 (1972), 228–238.

    Article  MATH  MathSciNet  Google Scholar 

  7. Johnson, C. S. Jr. and F. R. McMorris,Injective hulls of certain S-systems over a semilattice, Proc. Amer. Math. Soc., 32 (1972), 371–375.

    Article  MATH  MathSciNet  Google Scholar 

  8. Masat, F. E.,Proper regular semigroups, Proc. Amer. Math. Soc., 71 (1978), 189–192.

    Article  MATH  MathSciNet  Google Scholar 

  9. Schein, B. M.,Completion, Translational hulls and ideal extensions of inverse semigroups, Czechoslovak Math. J., 23 (1973), 575–610.

    MathSciNet  Google Scholar 

  10. Schein, B. M.,Injective monars over inverse semigroups, Colloq. Math. Soc., Janos Bolyai 20, Algebraic theory of semigroups, Szeged (Hungary), 1976, 519–544.

  11. Skornjakov, L. A.,On the homological classification of monoids, Sibirsk. Math. Z., 10 (1969), 1139–1143: Erratum, Sibirsk. Math. Z., 12 (1971), 689. (in Russian)

    MATH  MathSciNet  Google Scholar 

  12. Shoji, K.,Self-injective non-singular semigroups, Proc. of 3rd Symposium on Semigroups, 1979, 69–78.

  13. Shoji, K.,Completely right injective semigroups, Math. Japonica, 24 (1980), 609–615.

    MATH  MathSciNet  Google Scholar 

  14. Shoji, K.,Injective hulls of certain right reductive semigroups as right S-systems, Mem. Fac. Sci., Shimane Univ., 14 (1980), 25–24.

    MATH  MathSciNet  Google Scholar 

  15. Venkatesan, P. S.,Right (Left) inverse semigroups, J. Algebra, 31 (1974), 209–217.

    Article  MATH  MathSciNet  Google Scholar 

  16. Yamada, M.,Regular semigroups whose idempotents satisfy permutation identities, Pacific J. Math., 21 (1967), 371–392.

    MATH  MathSciNet  Google Scholar 

  17. Yamada, M.,Orthodox semigroups whose idempotents satisfy a certain identity, Semigroup Forum, 6 (1973), 113–128.

    Article  MATH  MathSciNet  Google Scholar 

  18. Yamada, M. and N. Kimura,Note on idempotent semigroups. II, Proc. Japan Acad., 34 (1958), 110–112.

    Article  MATH  MathSciNet  Google Scholar 

  19. Yamada, M. and K. Shoji,On H-compatible quasiorthodox semigroups, Mem. Fac. Sci., Shimane Univ., 13 (1979), 1–9.

    MATH  MathSciNet  Google Scholar 

  20. Kimura, N.,The structure of idempotent semigroups. (I), Pacific J. Math., 8 (1958), 257–275.

    MATH  MathSciNet  Google Scholar 

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Communicated by Boris M. Schein

Dedicated to Professor Takasaburo Ukegawa on his 60th birthday

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Shoji, K. On right self-injective regular semigroups. Semigroup Forum 25, 51–71 (1982). https://doi.org/10.1007/BF02573588

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  • DOI: https://doi.org/10.1007/BF02573588

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