Newbetuts
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New posts in ring-theory
Prove the increasing union of ideals is an ideal
abstract-algebra
ring-theory
ideals
Rings Isomorphisms
ring-theory
Ring and Subring with different Identities [duplicate]
abstract-algebra
ring-theory
examples-counterexamples
In a noetherian integral domain every non invertible element is a product of irreducible elements
abstract-algebra
commutative-algebra
ring-theory
integral-domain
noetherian
Rings of fractions and homomorphisms
abstract-algebra
ring-theory
$R$ is PID, so $R/I$ is PID, and application on $\mathbb{Z}$ and $\mathbb{N}$
abstract-algebra
ring-theory
principal-ideal-domains
Prove that in a ring with $x^3 = x$ we have $x+x+x+x+x+x=0$. [duplicate]
abstract-algebra
ring-theory
Is $R$ a PID if every submodule of a free $R$-module is free?
abstract-algebra
ring-theory
commutative-algebra
modules
Example of a ring such that $R^2\simeq R^3$, but $R\not\simeq R^2$ (as $R$-modules)
abstract-algebra
ring-theory
modules
noncommutative-algebra
Units in quotient ring of $\mathbb Z[X]$
abstract-algebra
ring-theory
For every prime ideal $p$ the local ring $R_p$ has no nilpotent elements, then $R$ has no nilpotent elements
ring-theory
ideals
Multiplicative Euclidean Function for an Euclidean Domain
abstract-algebra
number-theory
ring-theory
Jacobson radical and Frattini group
abstract-algebra
group-theory
ring-theory
How to "Visualize" Ring Homomorphisms/Isomorphisms?
abstract-algebra
ring-theory
ring-homomorphism
Global dimension of quasi Frobenius ring
abstract-algebra
ring-theory
homological-algebra
noetherian
Polynomial ring with arbitrarily many variables in ZF
abstract-algebra
polynomials
ring-theory
set-theory
axiom-of-choice
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
abstract-algebra
ring-theory
$R$ is commutative, $I$,$J$ are ideals, $I+J=R$, then $IJ=I\cap J$ [duplicate]
abstract-algebra
ring-theory
Every finite commutative ring with no zero divisors contains a multiplicative identity?
abstract-algebra
ring-theory
Cancellation problem: $R\not\cong S$ but $R[t]\cong S[t]$ (Danielewski surfaces)
abstract-algebra
algebraic-geometry
reference-request
ring-theory
commutative-algebra
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