Abstract

HART, James B.  and  TSINAKIS, Constantine. The Duality Between Algebraic Posets and Bialgebraic Frames: A Lattice Theoretic Perspective. Rev. Unión Mat. Argent. [online]. 2008, vol.49, n.1, pp.83-98. ISSN 0041-6932.

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.

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