New posts in Ring Theory

$A$ reduced implies $A\otimes_k K$ reduced, for $k$ perfect.

uncountable ring with countable quotient ring?

Prove/disprove: $ I_1 \cong I_2 \iff R/I_1 \cong R/I_2 $

Showing that $\overline{\mathbb{Z}}/n\overline{\mathbb{Z}}$ is infinite

Why is $R/ (I \cap R)$ a subring of $S/I$?

Is every group the unit group of some ring?

Give examples of the following rings (concerning identities)

Under what conditions two cyclic modules are isomorphic?

What is the ideal class group of the ring $\mathbb{R}[x,y]/(x^2+y^2-1)$?

Why do I expect $\operatorname{Spec}(\Bbb Q(i)\otimes_{\mathbb Q} \Bbb Q(i))$ contains 2 points?