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Semigroups with strong and nonstrong magnifying elements

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Abstract

The question if there exist semigroups containing both strong and nonstrong magnifying elements was recently raised up by K.D. Magill Jr. in [3] and by F. Catino and F. Migliorini in [1]. In this note we give an affirmative answer to this question.

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References

  1. Catino, F. and F. Migliorini,Magnifying elements n semigroups, Semigroup Forum44 (1992), 314–319.

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  2. Ljapin, E. S., “Semigroups,” Amer. Math. Soc., Providence, R.I. (1963).

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  3. Magill, K. D. Jr.,Magnifying elements of transformation semigroups, Semigroup Forum48 (1994), 119–126.

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  4. Tolo, K.,Factorizable semigroups, Pacific J. Math.,32 (1969), 523–535.

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Authors and Affiliations

  1. Formation de Mathématiques Pures, Université Blaise Pascal, 63177, Aubière Cédex, France

    Marin Gutan

  2. Department of Mathematics, University Al. I. Cuza, 6600, Iasi, Romania

    Marin Gutan

Authors
  1. Marin Gutan
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Communicvated by Norman R. Reilly

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Gutan, M. Semigroups with strong and nonstrong magnifying elements. Semigroup Forum 53, 384–386 (1996). https://doi.org/10.1007/BF02574152

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  • DOI: https://doi.org/10.1007/BF02574152

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