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Globals of completely regular periodic semigroups

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References

  1. Clifford, A.H. and G.B. Preston, The algebraic theory of semigroups, Amer. Math. Soc., Providence, R.I., vol. I 1961, vol. II 1967.

    MATH  Google Scholar 

  2. Gould, M. and J.A. Iskra, Globally determined classes of semigroups, Semigroup Forum (to appear).

  3. Gould, M., J.A. Iskra, and C. Tsinakis, Globally determined lattices and semilattices, Algebra Universalis (to appear).

  4. Kobayashi, Y., Semilattices are globally determined (manuscript).

  5. Lallement, G. and M. Petrich, Décompositions I-matricelles d'un demi-groupe, J. Math. Pure appl. 45 (1966), 67–117.

    MATH  MathSciNet  Google Scholar 

  6. E.M. Mogiljanskaja, Global definability of certain semigroups, Uč. Zap. Leningrad. Gos. Ped. Inst. 404 (1971), 146–149.

    Google Scholar 

  7. —, On the definability of certain idempotent semigroups by the semigroup of their subsemigroups, Uč. Zap. Leningrad. Gos. Ped. Inst. 496 (1972), 37–48. (Russian).

    MathSciNet  Google Scholar 

  8. —, Definability of certain holoid semigroups by means of the semigroups of all their subsets and subsemigroups, Uč. Zap. Leningrad. Gos. Ped. Inst. 496 (1972), 49–60. (Russian)

    MathSciNet  Google Scholar 

  9. E.M. Mogiljanskaja, The solution to a problem of Tamura, Sbornik Naučnyh Trudov Leningrad. Gos. Ped. Inst., “Modern Analysis and Geometry” (1972), 148–151. (Russian)

  10. —, Non-isomorphic semigroups with isomorphic semigroups of subsets, Semigroup Forum 6 (1973), 330–333.

    Article  MATH  MathSciNet  Google Scholar 

  11. T. Tamura, Unsolved problems on semigroups, Seminar Reports of Math. Sci., Kyoto Surikaiseki Kenkyusho (1967), 33–35.

  12. T. Tamura, The power, semigroups of rectangular groups and chains (manuscript).

  13. T. Tamura, Power semigroups of completely simple semigroups (manuscript).

  14. T. Tamura, Isomorphism problem of completely O-simple semigroups (manuscript).

  15. T. Tamura, On the semigroups of subsets of semigroups, Proc. 6-th Symposium on Semigroups, Ritsumeikan Univ. (1982), 11–18.

  16. T. Tamura and J. Shafer, Power semigroups, Math. Japon. 12 (1967), 25–32.

    MATH  MathSciNet  Google Scholar 

  17. —, Power sermigroups II, Notices of the A.M.S. 15 (1968), 395.

    Google Scholar 

  18. Ju. M. Važenin, On the global oversemigroups of a symmetric semigroup, Mat. Zap. Ural. Gos. Univ. 9 (1974), 3–10 (Russian)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Vanderbilt University, 37235, Nashville, TN

    Matthew Gould & Constantine Tsinakis

  2. Wesleyan College, 31297-4299, Macon, GA

    Joseph A. Iskra

Authors
  1. Matthew Gould
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  2. Joseph A. Iskra
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  3. Constantine Tsinakis
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Additional information

Communicated by G. Lallement

Dedicated to Takauki Tamura on his sixty-fifth birthday.

Research supported by the Vanderbilt University Research Council.

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Gould, M., Iskra, J.A. & Tsinakis, C. Globals of completely regular periodic semigroups. Semigroup Forum 29, 365–374 (1984). https://doi.org/10.1007/BF02573341

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  • DOI: https://doi.org/10.1007/BF02573341

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