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New posts in ring-theory
Number of elements in the quotient ring $\mathbb{Z}[X]/(X^2-3, 2X+4)$
abstract-algebra
ring-theory
Module which is not direct sum of indecomposable submodules
abstract-algebra
ring-theory
modules
direct-sum
Rings in which every ideal contains a minimal ideal
algebraic-geometry
ring-theory
commutative-algebra
ideals
artinian
Example that inverse limit is not exact
ring-theory
commutative-algebra
homological-algebra
Existence of a non-zero homomorphism
abstract-algebra
group-theory
ring-theory
When is a field a nontrivial field of fractions?
abstract-algebra
commutative-algebra
ring-theory
field-theory
What is an $R$-algebra?
abstract-algebra
ring-theory
modules
definition
algebras
Intuition for geometric definition of Henselian (local) scheme?
algebraic-geometry
ring-theory
commutative-algebra
intuition
hensels-lemma
Show that a ring with only trivial right ideals is either a division ring or $|R|=p$ and $R^2=\{0\}$. Why would $R$ be finite?
abstract-algebra
ring-theory
Categorical characterizations of ring properties
ring-theory
category-theory
definition
big-list
Examples of Infinite Boolean Rings
abstract-algebra
ring-theory
Pronunciation of `Rng` - the non-unital Ring
abstract-algebra
ring-theory
rngs
How to show that the ring $S/A$ has no zero divisors? (Hungerford, Algebra, Problem 12, Chapter III, Section 2)
abstract-algebra
ring-theory
ideals
Specific proof that any finitely generated $R$-module over a Noetherian ring is Noetherian.
abstract-algebra
ring-theory
modules
$B\otimes_A A[x]=B[x]$
ring-theory
commutative-algebra
category-theory
Factorisation of quadratics [duplicate]
algebra-precalculus
ring-theory
quadratics
factoring
How to know which elements are in the Quotient Ring $\mathbb{Z}[x]/\langle x, 2\rangle$?
abstract-algebra
ring-theory
If $x \in R$ is non-invertible implies $x^2 \in \{\pm x\}$ and $|R| >9$ odd then $R$ is a field
abstract-algebra
ring-theory
finite-rings
Finite extension of domains : preimage of non-zero ideal is non-zero?
abstract-algebra
ring-theory
commutative-algebra
integral-extensions
Showing a UFD which is not a PID must have a nonprincipal maximal ideal.
commutative-algebra
ring-theory
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