List questions from ring-homomorphism

Published on 28 Jul 2019 - 9:48

72

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Find a ring embedding from a finite field to a Galois ring

Published on 23 Feb 2026 - 2:09

31

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$B$ is an $A$-algebra. If $y\in B$ is integral then $\varphi(A)[y]$ is finite

Published on 14 Aug 2019 - 17:59

270

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If every non-zero ring homomorphism $\phi: K\rightarrow S$ is injective, $K$ is field

Published on 15 Aug 2019 - 17:26

219

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Conditions for an element to be an unit element in a ring

Published on 26 Aug 2019 - 6:49

264

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$R$ 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 $k$

Published on 26 Aug 2019 - 11:13

117

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Are all unital endormorphisms of a Weyl algebra automorphisms?

Published on 25 Mar 2026 - 4:41

127

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Determine the set of units $(\Bbb Z/n\Bbb Z)^\times$ for different values of $n$

Published on 06 Sep 2019 - 21:06

149

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For which pairs of natural numbers m and n does there exist a ring homomorphism $\Bbb Z/n\Bbb Z$→ $\Bbb Z/m\Bbb Z$?

Published on 08 Sep 2019 - 16:35

320

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Homomorphism of a set to its power set.

Published on 25 Mar 2026 - 9:32

589

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In-/surjectivity of $R[X] \rightarrow \text{Map}(R,R)$ for infinite integral domain $R$.

Published on 29 Sep 2019 - 16:53

104

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Induced homomorphism between two quotients

Published on 30 Sep 2019 - 22:07

77

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Boundary Homomorphism (2)

Published on 01 Oct 2019 - 1:18

47

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Two questions from ring homomorphisms.

Published on 06 Oct 2019 - 10:45

211

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Riesz Representation and Ring Homomorphism

Published on 09 Oct 2019 - 22:17

List Question

Prove that $f^{-1}(f(I))=I$

Find a ring embedding from a finite field to a Galois ring

$B$ is an $A$-algebra. If $y\in B$ is integral then $\varphi(A)[y]$ is finite

If every non-zero ring homomorphism $\phi: K\rightarrow S$ is injective, $K$ is field

Conditions for an element to be an unit element in a ring

$R$ 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 $k$

Are all unital endormorphisms of a Weyl algebra automorphisms?

Determine the set of units $(\Bbb Z/n\Bbb Z)^\times$ for different values of $n$

For which pairs of natural numbers m and n does there exist a ring homomorphism $\Bbb Z/n\Bbb Z$→ $\Bbb Z/m\Bbb Z$?

Homomorphism of a set to its power set.

In-/surjectivity of $R[X] \rightarrow \text{Map}(R,R)$ for infinite integral domain $R$.

Induced homomorphism between two quotients

Boundary Homomorphism (2)

Two questions from ring homomorphisms.

Riesz Representation and Ring Homomorphism

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