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New posts in ring-theory
Extension, restriction, and coextension of scalars adjunctions in the case of noncommutative rings?
linear-algebra
abstract-algebra
ring-theory
category-theory
modules
Is there a nice description of the field of fractions of the ring of polynomials with integer coefficients?
ring-theory
Prove that there is a unit $u \in R$ such that $ub = bu = a$
abstract-algebra
ring-theory
Field extension obtained by adjoining a cubic root to the rationals.
abstract-algebra
ring-theory
Product of two ideals doesn't equal the intersection
abstract-algebra
ring-theory
The structure of a Noetherian ring in which every element is an idempotent.
commutative-algebra
ring-theory
rngs
idempotents
$S^{-1}B$ and $T^{-1}B$ isomorphic for $T=f(S)$
commutative-algebra
ring-theory
modules
fractions
Can the complex numbers be realized as a quotient ring?
abstract-algebra
ring-theory
The necessary and sufficient condition for a unit element in Euclidean Domain
abstract-algebra
ring-theory
If $m$ and $n$ are distinct positive integers, then $m\mathbb{Z}$ is not ring-isomorphic to $n\mathbb{Z}$
abstract-algebra
ring-theory
Isomorphic groups but not isomorphic rings
abstract-algebra
ring-theory
examples-counterexamples
Does the unit generate the additive group in a unital ring with cyclic additive group?
abstract-algebra
group-theory
ring-theory
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$ [duplicate]
abstract-algebra
commutative-algebra
ring-theory
Subrings of Quadratic Integer Ring
abstract-algebra
ring-theory
algebraic-number-theory
Every Ring is Isomorphic to a Subring of an Endomorphism Ring of an Abelian Group
abstract-algebra
group-theory
ring-theory
When is a ring homomorphism $A \to A$ surjective but not injective.
abstract-algebra
ring-theory
fields are characterized by the property of having exactly 2 ideals [duplicate]
abstract-algebra
ring-theory
field-theory
ideals
When an Intersection of Prime Ideals is a Prime Ideal
abstract-algebra
ring-theory
ideals
If $a^2 = b^2$ in a field, then $a = b$ or $a = -b$
abstract-algebra
ring-theory
field-theory
Prove the ring equivalent of Cayley's theorem [duplicate]
abstract-algebra
group-theory
ring-theory
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