A topological duality for mildly distributive meet-semilattices

• Sergio A. Celani ^[1] ; Luciano J. González ^[2]
  1. [1] Universidad Nacional del Centro de la Provincia de Buenos Aires

     Universidad Nacional del Centro de la Provincia de Buenos Aires

     Argentina

     
  2. [2] Universidad Nacional de La Pampa

     Universidad Nacional de La Pampa

     Argentina

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 59, Nº. 2, 2018, págs. 265-284
• Idioma: inglés
• Enlaces
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• Resumen

  • We develop a topological duality for the category of mildly distributive meet-semilattices with a top element and certain morphisms between them. Then, we use this duality to characterize topologically the lattices of Frink ideals and filters, and we also obtain a topological representation for some congruences on mildly distributive meet-semilattices.