New posts in Ring Theory

$\exists x \in R$ and $\exists n \in\mathbb{N}$ such that $x^{n+1} = x^n \implies x^2 = x$

A question regarding a central idempotent in a ring $R$

Jacobson radical of formal power series over an integral domain

Motivation for the ring product rule $(a_1, a_2, a_3) \cdot (b_1, b_2, b_3) = (a_1 \cdot b_1, a_2 \cdot b_2, a_1 \cdot b_3 + a_3 \cdot b_2)$

Quotient of a quotient ring

An example of a non-commutative ring with multiplicative identity 1 in which the only (two sided) ideals are 0 and the whole ring

Is the trivial ring a subring?

Non-flatness of $k[t]$ as a $k[t^2,t^3]$-module

Is $\mathbb{Z}[x]/(x^2+2x+1)$ isomorphic to a product of non-trivial rings?

Direct sums in projective modules