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New posts in ring-theory
What is the significance of multiplication (as distinct from addition) in algebra & ring theory?
abstract-algebra
ring-theory
intuition
Characteristic of a simple ring is either prime or $0$
abstract-algebra
ring-theory
Fermat's last theorem and $\mathbb{Z}[\xi]$
number-theory
reference-request
ring-theory
Is every commutative ring having the invariant basis number property equivalent to AC?
abstract-algebra
ring-theory
set-theory
modules
axiom-of-choice
Graphically Organizing the Interrelationships of Basic Algebraic Structures
abstract-algebra
group-theory
ring-theory
definition
Why is the quotient map $SL_n(\mathbb{Z})$ to $SL_n(\mathbb{Z}/p\mathbb Z)$ is surjective?
abstract-algebra
group-theory
ring-theory
linear-groups
Is every prime element of a commutative ring "veryprime"?
abstract-algebra
ring-theory
commutative-algebra
Proving a commutative ring can be embedded in any quotient ring.
abstract-algebra
ring-theory
Is it really necessary to work with the fraction field here?
polynomials
ring-theory
commutative-algebra
ideals
integral-domain
Isomorphic rings or not?
abstract-algebra
ring-theory
Minimal counterexamples of the isomorphism problem for integral group rings
reference-request
ring-theory
finite-groups
open-problem
group-rings
If $A[[x]]$ is Noetherian, will $A$ be Noetherian?
abstract-algebra
commutative-algebra
ring-theory
Is it true that a flat module is torsion-free over an arbitrary ring? Does the reverse implication hold for finitely generated modules?
abstract-algebra
ring-theory
noncommutative-algebra
torsion-groups
flatness
Is it necessary for non-zero quotient ring in a UFD but not PID to be an infinite set?
abstract-algebra
ring-theory
A formula for the radical of $\mathbb{Z}/n\mathbb{Z}$.
abstract-algebra
ring-theory
commutative-algebra
Is the center of a ring an ideal?
abstract-algebra
ring-theory
noncommutative-algebra
Inverting $a+b\sqrt{2}$ in the field $\Bbb Q(\sqrt{2})$
abstract-algebra
ring-theory
What is the intuition behind defining this isomorphism?
abstract-algebra
ring-theory
field-theory
finite-fields
extension-field
A ring that is left Noetherian but not right noetherian
ring-theory
modules
noetherian
$F[x]/(x^2)\cong F[x]/(x^2 - 1)$ if and only if F has characteristic 2
abstract-algebra
ring-theory
field-theory
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