Name
Abstract | ||
|---|---|---|
The down-set construction, when applied to the category of Boolean frames, can be viewed as a functor into the category of frames with frame homomorphisms subject to various conditions akin to openness. We prove that it has a right adjoint, which is then given by Booleanization, exactly for near openness and one other, closely related property; a similar result is obtained for the finitary case of pseudocomplemented distributive lattices. In addition, we present a characterization of the frames which are down-set frames of Boolean frames. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1023/A:1011238428088 | Applied Categorical Structures |
Keywords | Field | DocType |
down-set frames,open and similar types of homomorphisms,Booleanization,adjunction | Distributive property,Topology,Discrete mathematics,Algebra,Lattice (order),Functor,Finitary,Homomorphism,Mathematics,Adjunction | Journal |
Volume | Issue | ISSN |
9 | 4 | 1572-9095 |
Citations | PageRank | References |
1 | 0.41 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bernhard Banaschewski | 1 | 42 | 18.06 |
| Ales Pultr | 2 | 72 | 24.12 |