New posts in Ring Theory

There does not exist a onto ring homomorphism from $M_{n+1 \times n+1}(\mathbb F) \to M_{n \times n}(\mathbb F) $ for any field $\mathbb F.$

Showing a Functor is not Representable

Romyar Sharifi's notes: Group and Galois Cohomology; ideal vs submodule?

Product of ideals is a subset of an intersection of ideals

The order of the ring's product

Prove no zero divisors of a ring with a radical in $\mathbb{Z}_7$

Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain

Prove $(y-x^2)$ is a prime ideal in $\mathbb{R}[x,y]$, but not maximal.

Showing that $\sqrt{5} \in \mathbb{Q}(\sqrt[p]{2} + \sqrt{5})$

Polynomial division: an obvious trick? [reducing mod $\textit{simpler}$ multiples]