The Duality Between Algebraic Posets and Bialgebraic Frames: A Lattice Theoretic Perspective

• Autores: James B. Hart, Constantine Tsinakis
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 49, Nº. 1, 2008, págs. 83-98
• Idioma: inglés
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• Resumen

  • This paper sets two goals. The first is to present algebraists with a purely order-theoretic derivation of the adjunction between the category DCPO of DCPOs (directed complete posets) and the category Frm of frames. This adjunction restricts to several Stone-type dualities which are well-known and of considerable interest to computer scientists. The second goal is to describe the object classes of these subdualities in terms familiar to algebraists, thereby making a large body of literature about them more accessible.