List questions from abstract-algebra

Published on 10 Apr 2026 - 15:45

318

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Verifying Subtraction Closure in the Product of Two Ideals

Published on 11 Apr 2026 - 8:08

85

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Degree of splitting field

Published on 10 Apr 2026 - 12:52

73

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Why do the maximal the ideals of $\mathbb C[x_1,\dots,x_n]$ that contain $I$ correspond to the maximal ideals of $\mathbb C[x_1,\dots, x_n]/I$?

Published on 03 Feb 2018 - 5:40

171

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Why must a domain be nonzero?

Published on 09 Apr 2026 - 0:27

82

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Action of a group on set of morphisms

Published on 08 Apr 2026 - 23:12

787

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Restriction of automorphism to a fixed field an automorphism of the fixed field?

Published on 12 Apr 2026 - 15:15

465

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Prove that if $f:R\rightarrow S$ is a semiring homomorphism and $R$ is a ring, then $S$ is a ring as well.

Published on 25 Mar 2026 - 12:29

319

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Closed subalgebras of $C[0,1]$ and $C[0,1)$?

Published on 11 Apr 2026 - 11:16

176

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Prove that an element of a quotient ring of polynomials is algebraic

Published on 26 Mar 2026 - 15:17

554

Views

$\mathbb Z[x]/(9x^2+1)$ has a prime ideal which is not maximal

Published on 11 Apr 2026 - 23:33

1k

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Localization of maximal ideal is again a maximal ideal and the residue fields are isomorphic

Published on 06 Apr 2026 - 13:47

146

Views

Computing homology groups, algebra confusion

Published on 08 Apr 2026 - 22:41

53

Views

Is $\bigcap_{i\in I}(M_i/N)=\bigl(\bigcap_{i\in I}M_i\bigr)/N$?

Published on 11 Apr 2026 - 21:36

104

Views

Structure of simple modules of $U_q(\mathfrak{sl}_2)$ at a root of unity.

Published on 09 Apr 2026 - 0:08

List Question

Ideas on proving or disproving a ring is integrally closed

Verifying Subtraction Closure in the Product of Two Ideals

Degree of splitting field

Why do the maximal the ideals of $\mathbb C[x_1,\dots,x_n]$ that contain $I$ correspond to the maximal ideals of $\mathbb C[x_1,\dots, x_n]/I$?

Why must a domain be nonzero?

Action of a group on set of morphisms

Restriction of automorphism to a fixed field an automorphism of the fixed field?

Prove that if $f:R\rightarrow S$ is a semiring homomorphism and $R$ is a ring, then $S$ is a ring as well.

Closed subalgebras of $C[0,1]$ and $C[0,1)$?

Prove that an element of a quotient ring of polynomials is algebraic

$\mathbb Z[x]/(9x^2+1)$ has a prime ideal which is not maximal

Localization of maximal ideal is again a maximal ideal and the residue fields are isomorphic

Computing homology groups, algebra confusion

Is $\bigcap_{i\in I}(M_i/N)=\bigl(\bigcap_{i\in I}M_i\bigr)/N$?

Structure of simple modules of $U_q(\mathfrak{sl}_2)$ at a root of unity.

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