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New posts in ring-homomorphism
Under what conditions will the ring homomorphism $\phi : R \to S$ satisfy the following results about prime and maximal ideals?
abstract-algebra
ring-theory
maximal-and-prime-ideals
ring-homomorphism
Can ring homomorphisms be characterized as ring maps such that preimage of any ideal is an ideal?
abstract-algebra
ring-theory
ideals
ring-homomorphism
Prove that a mapping from C to M2(R) is injective and a homomorphismm
abstract-algebra
ring-theory
group-homomorphism
ring-homomorphism
Homomorphisms and automorphisms on polynomial rings
abstract-algebra
ring-theory
linear-transformations
ring-homomorphism
polynomial-rings
How would you show that field automorphisms fix prime subfields?
abstract-algebra
field-theory
ring-homomorphism
How to "Visualize" Ring Homomorphisms/Isomorphisms?
abstract-algebra
ring-theory
ring-homomorphism
Let $H=(1+i)\mathbb{Z}[i]$. Let $f:\mathbb{Z}\to \mathbb{Z}[i]/H : f(z)=[z]$. Prove $\ker f=2\mathbb{Z}$.
abstract-algebra
ring-theory
ideals
ring-homomorphism
Prove $\ker \phi=\langle 1+\sqrt{-5}, 2\rangle$
abstract-algebra
ring-theory
ring-homomorphism
Ring homomorphism where $g(1)$ is not identity
ring-theory
ring-homomorphism
Show map between tensor products is a $R-$algebra homomorphism
abstract-algebra
commutative-algebra
tensor-products
ring-homomorphism
$R$ is an algebra over an infinite field. If $\exists$ ideals s.t. $J\subseteq \bigcup_{k=1}^nI_k$ then $J\subseteq I_k$ for some $k$
abstract-algebra
ring-theory
ideals
ring-homomorphism
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
abstract-algebra
matrices
ring-theory
ring-homomorphism
Can there be an onto homomorphism from a ring without unity to a ring with unity?
abstract-algebra
ring-theory
ring-homomorphism
The kernel of the unique homomorphism $\varphi:\mathbb Z\to K$ is a prime ideal.
field-theory
finite-fields
ring-homomorphism
Let $R$ be a commutative Noetherian ring (with unity), and let $I$ be an ideal of $R$ such that $R/I \cong R$. Then is $I=(0)$?
abstract-algebra
ring-theory
ideals
noetherian
ring-homomorphism
Showing two ring homomorphisms that agree on the integers must agree on the rationals
abstract-algebra
ring-homomorphism
Northcott Multilinear Algebra Universal Property Proof
abstract-algebra
multilinear-algebra
ring-homomorphism
What is an Homomorphism/Isomorphism "Saying"?
abstract-algebra
group-isomorphism
group-homomorphism
ring-homomorphism
Homomorphism $\mathbb{Z}[x,y] \rightarrow \mathbb{Z}_{7}$.
ring-theory
ring-homomorphism
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