List questions from galois-connections | MathQA

Galois connections between quasi orders?

Published on 25 Mar 2026 - 9:25

Image of sup/inf under Galois connection between lattices

Published on 25 Mar 2026 - 9:27

Charecterization of Topologies via Galois Connections

Published on 25 Mar 2026 - 9:28

"function monotonicity" condition is required in definition of Galois connection?

Published on 25 Mar 2026 - 11:02

left adjoint preserve join applicable on empty set?

Published on 25 Mar 2026 - 9:25

Galois Connection from $fgf=f$ and $gfg=g$.

Published on 25 Mar 2026 - 11:13

$I(A)$ and $I(B)$ ideal lattices, then $F(J) = \downarrow \psi(J)$ and $G(U)=\downarrow \phi(U)$ is a connection of Galois between $I(A)$ and $I(B)$.

Published on 25 Mar 2026 - 9:29

Prove that if $N, M \leq\operatorname{Aut}(K/F) $ in a galois extension $K/F $, the fixed field of $\langle N, M \rangle $ is $F^N \cap F^M $

Published on 25 Mar 2026 - 9:29

If $(f, g)$ is a Galois connection between two bounded lattices, then if $T$ is an ideal we have $f^{-1}(T)$ is an ideal

Published on 25 Mar 2026 - 9:29

Galois theory for arbitrary field extension

Published on 25 Mar 2026 - 9:24

Is there a way to state the fundamental theorem of Galois theory in a categorical sense?

Published on 25 Mar 2026 - 9:29

Galois connection arising from discussion of flat module and pure exact sequence.

Published on 25 Mar 2026 - 9:32