Projective sup-algebras: a general view
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | Topology and its Applications |
| MU Faculty or unit | |
| 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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