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Equipotence et unicite de systemes generateurs minimaux dans certains monoides

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Abstract

It is proved that in a periodic ℛ-trivial monoid M, any two minimal generating systems have the same cardinality. Morever if M isT-trivial and admits a minimal generating system then such a system is unique.

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References

  1. A.H. Clifford and G.B. Preston 1961, The Algebraic theory of semigroups, vol. 1 et 2 Am. Math. Society.

  2. G. Lallement, semigroups and combinatorial applications, Willey, New York 1979.

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  3. E.S. Ljapin, semigroups, Am Math. Society 1963.

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Authors and Affiliations

  1. Université Paris VII, 2, place Jussieu, 75005, Paris

    Jacques Doyen

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  1. Jacques Doyen
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Communiqué par G. Lallement

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Doyen, J. Equipotence et unicite de systemes generateurs minimaux dans certains monoides. Semigroup Forum 28, 341–346 (1984). https://doi.org/10.1007/BF02572494

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  • DOI: https://doi.org/10.1007/BF02572494

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