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Ordered Monoids and J-Trivial Monoids

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Algorithmic Problems in Groups and Semigroups

Part of the book series: Trends in Mathematics ((TM))

Abstract

In this paper we give a new proof of the following result of Straubing and Thérien: Every J-trivial monoid is a quotient of an ordered monoid satisfying the identity x ≤ 1.

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Henckell, K., Pin, JE. (2000). Ordered Monoids and J-Trivial Monoids. In: Birget, JC., Margolis, S., Meakin, J., Sapir, M. (eds) Algorithmic Problems in Groups and Semigroups. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1388-8_6

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  • DOI: https://doi.org/10.1007/978-1-4612-1388-8_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7126-0

  • Online ISBN: 978-1-4612-1388-8

  • eBook Packages: Springer Book Archive

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