List questions from abstract-algebra

Published on 10 May 2026 - 14:56

48

Views

Prove that in a field $F, \exists a,b,c \in F$ such that $x^3+x^2+1$ is a divisor of $x^{2018} + ax^3 + bx + c$

Published on 16 Apr 2026 - 1:23

318

Views

When does commutativity imply associativity in a set of operators?

Published on 13 May 2026 - 1:59

63

Views

Isomorphism In Ring Theory

Published on 11 Apr 2026 - 18:10

38

Views

Equivalence Relation questions about transitivity

Published on 11 May 2026 - 1:03

39

Views

When is the 'right coset' a subgroup

Published on 10 May 2026 - 16:32

295

Views

Question about Galois Extension and fixed field by a Subgroup of the Galois group

Published on 13 Apr 2026 - 8:22

149

Views

Define homomorphism between two algebraic structures

Published on 12 Apr 2026 - 6:01

339

Views

How do I prove that $S_3 \times \mathbb{Z}_2$ is isomorphic to $D_6$?

Published on 10 Apr 2026 - 19:35

176

Views

Showing $I \otimes J \cong IJ$

Published on 14 Apr 2026 - 7:23

105

Views

Irreducible Polynomial $g = X^4 + X + 1$ in $\mathbb{F}_2$

Published on 17 Apr 2026 - 13:24

155

Views

Determine invariant subfield and order in $\operatorname{Aut}(L)$

Published on 10 May 2026 - 16:12

37

Views

Equality of sets with square-free integers

Published on 13 Apr 2026 - 20:51

405

Views

Prove that there is a Galois extension $E$ of $\mathbb{Q}$ such that Gal$(E/\mathbb{Q}) \cong \mathbb{Z}_{18}$

Published on 14 May 2026 - 5:18

41

Views

Zariski Topology: $V(S)=V(\langle S\rangle)$

Published on 10 May 2026 - 13:48

List Question

Why is $\mathbb{Z}[x]/(2, (x^3+1))\cong \mathbb{F}_2[x] /(x^3+1) $?

Prove that in a field $F, \exists a,b,c \in F$ such that $x^3+x^2+1$ is a divisor of $x^{2018} + ax^3 + bx + c$

When does commutativity imply associativity in a set of operators?

Isomorphism In Ring Theory

Equivalence Relation questions about transitivity

When is the 'right coset' a subgroup

Question about Galois Extension and fixed field by a Subgroup of the Galois group

Define homomorphism between two algebraic structures

How do I prove that $S_3 \times \mathbb{Z}_2$ is isomorphic to $D_6$?

Showing $I \otimes J \cong IJ$

Irreducible Polynomial $g = X^4 + X + 1$ in $\mathbb{F}_2$

Determine invariant subfield and order in $\operatorname{Aut}(L)$

Equality of sets with square-free integers

Prove that there is a Galois extension $E$ of $\mathbb{Q}$ such that Gal$(E/\mathbb{Q}) \cong \mathbb{Z}_{18}$

Zariski Topology: $V(S)=V(\langle S\rangle)$

Trending Questions

Popular # Hahtags

Popular Questions