List questions from abstract-algebra

Published on 09 Apr 2026 - 1:02

248

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Is a vector space with countable basis is countable?

Published on 26 Mar 2026 - 14:16

220

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On the generators of free $R$-modules.

Published on 09 Apr 2026 - 0:29

1k

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Irreducibility of $x^5 - 6x^3 +2x^2 - 4x +5$ in $\mathbb Q[x]$

Published on 24 Mar 2026 - 22:15

167

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Spivak Prologue Question: Basic Properties of Numbers

Published on 11 Apr 2026 - 4:38

751

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Module over integral domain, "Rank-nullity theorem", Exact Sequence

Published on 09 Apr 2026 - 0:27

523

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The internal direct product of two subgroups

Published on 11 Apr 2026 - 15:03

128

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Is $\mathbb Z[x]/(x-2)\cong\mathbb Z$?

Published on 09 Apr 2026 - 13:12

106

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$\mathbb{Q}(\theta) \neq \mathbb{Q}(\sqrt[3]{d})$.

Published on 25 Mar 2026 - 1:22

37

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Show that as roots of an irreducible polynomial in $ \mathbb{F}_q $ are $a,a^q \ldots a^{q^{n-1}}$

Published on 24 Mar 2026 - 22:16

233

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Roots of linear combination of functions

Published on 13 Apr 2026 - 1:30

789

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A reference for ring examples

Published on 05 Apr 2026 - 16:04

1.8k

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Differences between homomorphisms and functions

Published on 09 Apr 2026 - 11:15

573

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Algebraic closure and field extension

Published on 12 Apr 2026 - 20:54

257

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Partition the rationals with respect to a multivariate polynomial which sends classes to classes

Published on 12 Apr 2026 - 22:11

List Question

Question on the composition of homomorphisms

Is a vector space with countable basis is countable?

On the generators of free $R$-modules.

Irreducibility of $x^5 - 6x^3 +2x^2 - 4x +5$ in $\mathbb Q[x]$

Spivak Prologue Question: Basic Properties of Numbers

Module over integral domain, "Rank-nullity theorem", Exact Sequence

The internal direct product of two subgroups

Is $\mathbb Z[x]/(x-2)\cong\mathbb Z$?

$\mathbb{Q}(\theta) \neq \mathbb{Q}(\sqrt[3]{d})$.

Show that as roots of an irreducible polynomial in $ \mathbb{F}_q $ are $a,a^q \ldots a^{q^{n-1}}$

Roots of linear combination of functions

A reference for ring examples

Differences between homomorphisms and functions

Algebraic closure and field extension

Partition the rationals with respect to a multivariate polynomial which sends classes to classes

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