Newbetuts
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New posts in ring-theory
What is so special about $a*b^{ -1}$ equivalence?
abstract-algebra
group-theory
ring-theory
advice
Name a ring of 2 by 2 matrices where $a^3 = a$ and a belonging to this ring?
abstract-algebra
ring-theory
Prove the Ring Homomorphism is Surjective
ring-theory
ideals
Prime elements in a noncommutative ring
ring-theory
prime-numbers
noncommutative-algebra
maximal-and-prime-ideals
Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
ring-theory
commutative-algebra
ideals
chinese-remainder-theorem
When is the ring homomorphism $\mathbb{Z} \to R$ an epimorphism?
abstract-algebra
ring-theory
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
abstract-algebra
ring-theory
algebraic-number-theory
What exactly is an $R$-algebra?
abstract-algebra
ring-theory
In $\mathbb{Z}/(n)$, does $(a) = (b)$ imply that $a$ and $b$ are associates?
abstract-algebra
ring-theory
commutative-algebra
ideals
isomorphism $\psi$ between quotient rings
abstract-algebra
polynomials
ring-theory
quotient-spaces
ring-isomorphism
$p$ is irreducible if and only if the only divisors of $p$ are the associates of $p$ and the unit elements of $R$
abstract-algebra
ring-theory
Rings in which binomial theorem holds for at least one integer $n>2$
reference-request
ring-theory
binomial-theorem
Factorize $(9+11\sqrt{-5})$ as a product of prime ideals in $\mathcal{O}_K$ where $K=\mathbb{Q}(\sqrt{-5})$
ring-theory
algebraic-number-theory
Coprime elements in finite rings
abstract-algebra
commutative-algebra
ring-theory
finite-rings
Do polynomials make sense over non-commutative rings?
polynomials
ring-theory
Sufficiently many idempotents and commutativity
abstract-algebra
ring-theory
idempotents
When is a local, reduced, (commutative) ring an integral domain?
abstract-algebra
commutative-algebra
ring-theory
If ring $B$ is integral over $A$, then an element of $A$ which is a unit in $B$ is also a unit in $A$.
abstract-algebra
commutative-algebra
ring-theory
Prove the Radical of an Ideal is an Ideal
abstract-algebra
ring-theory
ideals
Prime ideals of a finite direct product ring
abstract-algebra
ring-theory
ideals
noncommutative-algebra
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