Frames and MV-algebras |
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Authors: | Email author" target="_blank">Lawrence?P?BelluceEmail author Antonio?Di?Nola |
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Institution: | (1) Department of Mathematics, British Columbia University, Vancouver, B.C. Canada;(2) Department of Mathematics and Informatics, University of Salerno, Italy |
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Abstract: | We describe a class of MV-algebras which is a natural generalization of the class of “algebras of continuous functions”. More
specifically, we're interested in the algebra of frame maps Hom
(Ω(A), K) in the category T of frames, where A is a topological MV-algebra, Ω(A) the lattice of open sets of A, and K an arbitrary frame.
Given a topological space X and a topological MV-algebra A, we have the algebra C (X, A) of continuous functions from X to A. We can look at this from a frame point of view. Among others we have the result: if K is spatial, then C(pt(K), A), pt(K) the points of K, embeds into Hom
(Ω(A), K) analogous to the case of C (X, A) embedding into Hom
(Ω(A), Ω (X)).
1991 Mathematics Subject Classification: 06F20, 06F25, 06D30
Presented by Ewa Orlowska |
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Keywords: | MV-algebra Frame |
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