List questions from ring-theory

Published on 07 Feb 2018 - 20:28

217

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Why do elements in $\mathbb R[x]/(x^2)$ look like at most degree one polynomials?

Published on 24 Mar 2026 - 22:12

383

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Unital Ring Homomorphisms Questions

Published on 19 Mar 2026 - 16:23

81

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matrix first isomorphism problem

Published on 22 Mar 2026 - 17:56

220

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Discrete Valuation Ring properties

Published on 08 Feb 2018 - 3:00

77

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Show that $n\mathbb{Z} + m\mathbb{Z} = h \mathbb{Z}$, where $h = hcf(m,n)$

Published on 25 Mar 2026 - 11:54

169

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irreducible ring vs simple ring

Published on 25 Mar 2026 - 3:24

66

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Is there a name for the polynomial $x^n-a$?

Published on 09 Feb 2018 - 3:10

447

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In homomorphic image of Jacobson ring Nilradical is equal to the Jacobson radical.

Published on 09 Feb 2018 - 8:28

581

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Two definitions of an $A$-algebra

Published on 22 Mar 2026 - 23:22

729

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Show that a localization a power series ring $R[[x]]$ by $S$ can be written a certain way.

Published on 17 Mar 2026 - 5:49

56

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Subring of an inverse limit is the entire thing if maps to pieces are surjective

Published on 22 Mar 2026 - 20:18

1k

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How do you call an element that is non-zero non-unit

Published on 25 Mar 2026 - 0:02

704

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Show $\text{Hom}_R(M,N)$ is an abelian group

Published on 25 Mar 2026 - 6:11

216

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Showing that if $ker(\theta) \subseteq A$ (an ideal in R) then $R/A \simeq S/\theta(A)$

Published on 20 Mar 2026 - 1:57

List Question

Subrings of F(t)

Why do elements in $\mathbb R[x]/(x^2)$ look like at most degree one polynomials?

Unital Ring Homomorphisms Questions

matrix first isomorphism problem

Discrete Valuation Ring properties

Show that $n\mathbb{Z} + m\mathbb{Z} = h \mathbb{Z}$, where $h = hcf(m,n)$

irreducible ring vs simple ring

Is there a name for the polynomial $x^n-a$?

In homomorphic image of Jacobson ring Nilradical is equal to the Jacobson radical.

Two definitions of an $A$-algebra

Show that a localization a power series ring $R[[x]]$ by $S$ can be written a certain way.

Subring of an inverse limit is the entire thing if maps to pieces are surjective

How do you call an element that is non-zero non-unit

Show $\text{Hom}_R(M,N)$ is an abelian group

Showing that if $ker(\theta) \subseteq A$ (an ideal in R) then $R/A \simeq S/\theta(A)$

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