List questions from ring-theory | MathQA

Let $R$ be a semi-simple ring. All left modules are semi-simple. Then all right modules are semi-simple. So all modules are semi-simple on both sides?

Published on 29 Mar 2019 - 17:06

How to show that all prime ideals of $\mathbb Z[\sqrt {-3}]$ are maximal?

Published on 30 Mar 2019 - 3:05

Definition of the annihilator of a set in polynomial rings

Published on 30 Mar 2019 - 13:36

Image of arbitrary ideal under quotient map

Published on 01 Apr 2026 - 8:55

Suppose we have a non-zero non unit $r$ in $R$ that cannot be written as a product of irreducibles ...

Published on 30 Mar 2019 - 22:16

not understanding the proof of jacobson-semisimple and DCC on principals implying semisimpleness

Published on 31 Mar 2019 - 0:02

Can we invert these analogous "Dirichlet" series for GCD / LCM convolution?

Published on 22 Mar 2026 - 23:53

Rings of fractions

Published on 26 Mar 2026 - 13:02

Simple exercise about ideals of integers

Published on 30 Mar 2026 - 20:40

What is the ideal class group?

Published on 05 Apr 2026 - 13:07

$\mathbb{F}_{3}[x]/(x^3-x^2+1) \cong \mathbb{F}_{3}[x]/(x^3-x^2+x+1)$.

Published on 31 Mar 2026 - 19:15

Subrings and multiplicative identities

Published on 01 Apr 2019 - 15:14

Quasi-regular element?

Published on 01 Apr 2019 - 16:49

Showing the associated graded group of a separated, filtered group $G$ is an $R$-Lie Algebra

Published on 29 Mar 2026 - 15:54

A nice way to phrase this theorem about ideals in Noetherian rings?

Published on 25 Mar 2026 - 13:55