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
DOI: 10.33044/revuma.v59n2a04
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.