When is a full duality strong?

• Autores: Brian A. Davey, Miroslav Haviar, Todd Niven
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 1, 2007, págs. 1-22
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The relationship between full and strong dualities in the theory of natural dualities is not yet understood. Our aim in this paper is to present partial solutions to the Full versus Strong Problem, which asks if every full duality is necessarily strong. We introduce local versions of this problem and prove that they have affirmative solutions for four well-known classes of algebras: abelian groups, semilattices, relative Stone Heyting algebras and bounded distributive lattices. Along the way we provide some useful additions to the general theory.