New posts in ring-theory

Vandermonde identity in a ring

abstract-algebra commutative-algebra polynomials ring-theory binomial-coefficients

Principal ideal rings that are not integral domains

abstract-algebra ring-theory principal-ideal-domains integral-domain

Which rings arise as a group ring?

group-theory ring-theory group-rings

Show that $\left(1+\dfrac{x}{n}\right)^n \to e^x$ as $n \to \infty$ in a normed ring $R$

ring-theory

Maximal ideals of $C\big((0,1)\big)$

ring-theory ideals maximal-and-prime-ideals

Commutativity of a ring from idempotents. [closed]

abstract-algebra ring-theory commutative-algebra idempotents

Gcd and lcm of $a_1, a_2, \dots,a_n$ exist in $R$ when $R$ is a UFD.

abstract-algebra ring-theory euclidean-algorithm

Does $R$ a domain imply $\operatorname{gr}(R)$ is a domain?

ring-theory commutative-algebra graded-rings

Ring theory exercises at the graduate level

reference-request soft-question ring-theory

Having trouble with just one line in a proof on why nonzero prime ideals are maximal in a Dedekind domain

ring-theory commutative-algebra ideals proof-explanation maximal-and-prime-ideals

An example of prime ideal $P$ such that $\bigcap_{n=1}^{\infty}P^n$ is not prime

abstract-algebra ring-theory commutative-algebra maximal-and-prime-ideals

For any rng $R$, can we attach a unity?

abstract-algebra ring-theory rngs

Noetherian ring whose ideals have arbitrarily large number of generators

commutative-algebra ring-theory ideals

The ring of idempotents

ring-theory category-theory boolean-algebra

If a polynomial ring is a free module over some subring, is that subring itself a polynomial ring?

abstract-algebra polynomials ring-theory commutative-algebra free-modules

Showing $k[X] \cong k[X,Y,Z]\big/{(Y-X^2,Z-X^3)}$

abstract-algebra ring-theory ideals maximal-and-prime-ideals polynomial-rings

Which isomorphism of coordinate rings corresponds to isomorphisms of affine varieties?

abstract-algebra algebraic-geometry reference-request ring-theory commutative-algebra

Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients

abstract-algebra ring-theory

Is $X$ irreducible in $R[X]$?

abstract-algebra ring-theory irreducible-polynomials

group of units of $\mathbb Z\left[\frac{1+\sqrt{5}}{2}\right]$

abstract-algebra ring-theory algebraic-number-theory