Antitone

Galois Connection - Examples - Algebraic Geometry
... the relation between sets of polynomials and their zero sets is an antitone Galois connection ... a subset of Kn, define the radical ideal of polynomials vanishing on U as Then V and I form an antitone Galois connection ... More generally, given a ring R (not necessarily a polynomial ring), there is an antitone Galois connection between radical ideals in the ring and subvarieties of the ...

Definition - Antitone Galois Connection
... definition, a Galois connection is a pair of antitone, i.e ... If the alternative definition is applied, the term antitone Galois connection or order-reversing Galois connection is used ... of both definitions are in fact very similar, since an antitone Galois connection between A and B is just a monotone Galois connection between A and the order dual Bop of B ...