Name
Abstract | ||
|---|---|---|
Most results on the structure of lattice-ordered fields require that the field have a positive multiplicative identity. We
construct a functor from the category of lattice-ordered fields with a vector space basis of d-elements to the full subcategory of such fields with positive multiplicative identities. This functor is a left adjoint to
the forgetful functor and, in many cases, allows us to write all compatible lattice orders in terms of orders with positive
multiplicative identities. We also use these results to characterize algebraically those extensions of totally ordered fields
that have vℓ-bases of d-elements. |
Year | DOI | Venue |
|---|---|---|
2007 | https://doi.org/10.1007/s10485-007-9063-x | Applied Categorical Structures |
Keywords | Field | DocType |
Lattice-ordered field,Lattice-ordered ring,d,-element,f,-element,Adjoint functor,Wilson basis,Algebraic extension,06F25,18A40,15A03,06F15 | Cone (category theory),Discrete mathematics,Topology,Free lattice,Exact functor,Quiver,Forgetful functor,Fiber functor,Functor,Universal property,Mathematics | Journal |
Volume | Issue | ISSN |
15 | 1 | 0927-2852 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jingjing Ma | 1 | 0 | 0.34 |
| R. H. Redfield | 2 | 0 | 0.34 |