New posts in Ring Theory

Show that $\cos\big(\frac{2\pi}{n}\big)$ is an algebraic number

Are all finite-dimensional algebras of a fixed dimension over a field isomorphic to one another?

Are projective modules over $\mathbb{Z}[x_1,...,x_m]$ free?

Why do we need prime ideals in the spectrum of a ring?

If $R$ is a reduced Noetherian ring, then every prime ideal in the total quotient ring $K(R)$ is maximal.

The Algebra-Geometric Motivation Behind Considering The Prime Spectrum of Arbitrary Rings

Example of the non-commutative ring with the set of units are commutative

When commutative ring hom $A\to A/I$ flat?

Why matrices commuting with $\small\begin{bmatrix} 0&1\\-1&0\end{bmatrix}$ represent complex numbers?

A subring may have a different identity,why?