List questions from flatness | MathQa

Annihilator of a flat module and faithfully flatness

Published on 12 Jan 2025 - 20:46

When is $\Bbb{Z}[\zeta_n]$ a PID?

Published on 12 Jan 2025 - 18:01

Failure of flatness in an integer ring

Published on 12 Jan 2025 - 20:34

Is $\_ \otimes_R R / m$, for some maximal ideal $m$ of $R$ left exact?

Published on 12 Jan 2025 - 20:48

Showing that $I=(3,1+\sqrt{-5})$ is $\mathbb{Z}[\sqrt{-5}]$-flat.

Published on 12 Jan 2025 - 20:42

Does torsion-free implies flat over a "locally principal" domain?

Published on 28 Dec 2024 - 0:13

B/A a ring extension. B is faithfully flat over A if and only if B/A is a flat A-module.

Published on 12 Jan 2025 - 21:00

flat morphisms of rings

Published on 12 Jan 2025 - 17:28

Are $K[X,Y,Z]$, $K[X,Y,Z]/(Z^2)$ and $K[X,Y,Z]/(XZ,YZ,Z^2)$ flat $K[X,Y]$-modules?

Published on 12 Jan 2025 - 20:53

Computing $\text{Tor}$ for modules over a PID

Published on 12 Jan 2025 - 22:27