Abstract
In this paper we give presentations for the monoid \({\mathcal {DP}}_n\) of all partial isometries on \(\{1,\ldots ,n\}\) and for its submonoid \({\mathcal {ODP}}_n\) of all order-preserving partial isometries.
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Acknowledgments
V. H. Fernandes: This work was developed within the FCT Project PEst-OE/MAT/UI0143/2014 of CAUL, FCUL, and of Departamento de Matemática da Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa. T. M. Quinteiro: This work was developed within the FCT Project PEst-OE/MAT/UI0143/2014 of CAUL, FCUL, and of Instituto Superior de Engenharia de Lisboa.
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Communicated by Jorge Almeida.
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Fernandes, V.H., Quinteiro, T.M. Presentations for monoids of finite partial isometries. Semigroup Forum 93, 97–110 (2016). https://doi.org/10.1007/s00233-015-9759-4
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DOI: https://doi.org/10.1007/s00233-015-9759-4