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E ∨-unitary covers for ∨-semilatticed inverse semigroups

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Abstract

It is well known that every inverse semigroup admits an E-unitary cover. In this paper we investigate the analogue of E-unitary covers within the variety of ∨-semilatticed inverse semigroups.

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Authors and Affiliations

  1. Centro de Álgebra da Universidade de Lisboa (CAUL), Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal

    A. Paula Garrão & Donald B. McAlister

  2. Departamento de Matemática, Universidade dos Açores, Apartado 1422, 9501-801, Ponta Delgada, Portugal

    A. Paula Garrão

  3. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115, USA

    Donald B. McAlister

Authors
  1. A. Paula Garrão
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  2. Donald B. McAlister
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Corresponding author

Correspondence to A. Paula Garrão.

Additional information

Communicated by László Márki.

This work was developed within the projects PTDC/MAT/69514/2006 “Semigroups and Languages” and POCTI-ISFL-1-143 “Álgebra Fundamental e Aplicada” of Centro de Álgebra da Universidade de Lisboa, financed by FCT and FEDER. The second author was also supported by FLAD under grant 071/2008.

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Garrão, A.P., McAlister, D.B. E ∨-unitary covers for ∨-semilatticed inverse semigroups. Semigroup Forum 86, 92–107 (2013). https://doi.org/10.1007/s00233-012-9388-0

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  • DOI: https://doi.org/10.1007/s00233-012-9388-0

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