New posts in Ring Theory

What are the units in $\mathbb{Q}(\sqrt{2}, \sqrt{3})$?

Is it possible to imbed any ring into a semi-simple ring?

Suppose $I\oplus K$ is a free module, then "$KI\subseteq K\cap I$"

Prime in $\mathbb Z [\sqrt{-5}]$ but not in $\mathbb Z [\sqrt{5}]$

$R \cong R[[x]]$

$p(x)x^n+q(x)(1-x)^n=1$ for some $p(x), q(x)\in \mathbb{Z}[x]$, what explicitly $p(x), q(x)$ are?

If $ U$ is maximal among non-principal ideals show that $U$ is prime. (Hints?)

Can ring homomorphisms be characterized as ring maps such that preimage of any ideal is an ideal?

Can there be an onto homomorphism from a ring without unity to a ring with unity?

Identify $\mathbb{Z}[x]/(2x^2+1,2x-3)$.