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Semigroups That Contain All Singular Transformations

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Abstract

Given a transformation semigroup S over a finite set X we determine necessary and sufficient conditions on the generators of S in order that it contains all singular transformations.

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References

  1. André, J.M. Regularity on near permutation semigroups, Comm. Algebra, to appear (2003)

  2. D. B. McAlister (1998) ArticleTitleSemigroups generated by a group and an idempotent Comm. Algebra 26 515–547 Occurrence Handle1604099 Occurrence Handle10.1080/00927879808826145 Occurrence Handle0893.20045

    Article  MathSciNet  MATH  Google Scholar 

  3. Howie, J. M. Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995

  4. J. M. Howie (1990) ArticleTitleIdempotent generators in finite full transformation semigroups Proc. Roy. Soc. Edinburgh Sect. A 114 317–323 Occurrence Handle516422 Occurrence Handle10.1017/S0308210500024355 Occurrence Handle0403.20038

    Article  MathSciNet  MATH  Google Scholar 

  5. K. Kearnes A. Szendrei J. Wood (2001) ArticleTitleGenerating singular transformations Semigroup Forum 63 IssueID3 441–448 Occurrence Handle1851823 Occurrence Handle10.1007/s002330010069 Occurrence Handle1014.20037

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Centro de Álgebra da Universidade de Lisboa Av. Prof. Gama Pinto, 2 1649-003 Lisboa and Departamento de Matemática Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa Monte da Caparica, 2829-516 Caparica, Portugal

    Jorge M. André

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  1. Jorge M. André
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Edited by John B. Fountain

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André, J. Semigroups That Contain All Singular Transformations. Semigroup Forum 68, 304–307 (2004). https://doi.org/10.1007/s00233-003-0006-z

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  • DOI: https://doi.org/10.1007/s00233-003-0006-z

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