Projective sup-algebras: a general view

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Authors

PASEKA Jan

Year of publication 2008
Type Article in Periodical
Magazine / Source Topology and its Applications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Projective sup-algebras; Frame; Quantale; K-comonad
Description We begin with the notion of K-flat projectivity. For each sup-algebra L we then introduce a binary relation left triangle, openL on it. The K-flat projective sup-algebras are exactly such sup-algebras with each element a approximated by the element x, xleft triangle, openLa and the relation left triangle, openL being stable with respect to the operations on L. Further on, we introduce the notion of a K-comonad and characterize K-flat projective sup-algebras as such sup-algebras having a coalgebra structure for the K-comonad.
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