Question

Algebra-module over a set, is there such a thing?

score 48 · Answer 1 · 2026-05-06 09:10:30

48

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Algebra-module over a set, is there such a thing?

Published on 06 May 2026 - 9:10

score 137 · Answer 2 · 2026-04-11 15:43:23

137

Views

Some details about $\boldsymbol{R_P}$ has a unique maximal ideal prove

Published on 11 Apr 2026 - 15:43

score 70 · Answer 3 · 2026-05-10 18:03:46

70

Views

Abstract algebra, order of element

Published on 10 May 2026 - 18:03

score 43 · Answer 4 · 2026-05-10 17:17:50

43

Views

Is $:U(R)\times R^+\longrightarrow R^+,\ (g,a)\mapsto ga:=g\cdot a$ surjective?

Published on 10 May 2026 - 17:17

score 240 · Answer 5 · 2026-05-10 15:52:37

240

Views

Let R be a ring with 1. Show that every principal left ideal is generated by an idempotent iff it is a direct summand of ${}_{R}R$

Published on 10 May 2026 - 15:52

score 486 · Answer 6 · 2026-04-16 09:55:20

486

Views

Find all the conjugates of primitive $35th$ root of unity over $\mathbb{F_{13}}$

Published on 16 Apr 2026 - 9:55

score 280 · Answer 7 · 2026-04-11 19:33:54

280

Views

show that orbits have the same order under the normal subgroup of a transitive group

Published on 11 Apr 2026 - 19:33

score 123 · Answer 8 · 2026-05-11 04:42:23

123

Views

Abstract Algebra question: If F(x) is the field of rational functions with coefficients in a field F, what is F(x)[t]?

Published on 11 May 2026 - 4:42

score 114 · Answer 9 · 2026-04-09 07:55:07

114

Views

Problems on determining the Primes in $\mathbb{Z}[i]$

Published on 09 Apr 2026 - 7:55

score 975 · Answer 10 · 2026-05-10 15:03:19

975

Views

How can I show that the polynomial $t^n-x$ is irreducible in $F(x)[t]$?

Published on 10 May 2026 - 15:03

score 262 · Answer 11 · 2026-05-11 04:38:19

262

Views

Show that $x^3-a$ is irreducible in $\mathbb{Z}_7$ unless $a=0$ or $\pm1$

Published on 11 May 2026 - 4:38

score 77 · Answer 12 · 2026-04-15 04:45:08

77

Views

The only ring morphism $\mathbb{R} \rightarrow \mathbb{R}$ is $id_{\mathbb{R}}$ [Proof Verification]

Published on 15 Apr 2026 - 4:45

score 87 · Answer 13 · 2026-05-10 10:08:32

87

Views

When does a $n \in \mathbb{Z}$ can be written as $n=A^2+B^2$?

Published on 10 May 2026 - 10:08

score 1.5k · Answer 14 · 2026-05-11 02:01:07

1.5k

Views

Finding generator for Ideal generated by two elements in a PID

Published on 11 May 2026 - 2:01

score 1.1k · Answer 15 · 2026-05-10 15:00:04

1.1k

Views

$\mathrm{Aut}(\mathrm{Aut}(G))\cong\mathrm{Aut}(G)$ for $G$ a non-abelian simple group

Published on 10 May 2026 - 15:00

List Question

Algebra-module over a set, is there such a thing?

Some details about $\boldsymbol{R_P}$ has a unique maximal ideal prove

Abstract algebra, order of element

Is $:U(R)\times R^+\longrightarrow R^+,\ (g,a)\mapsto ga:=g\cdot a$ surjective?

Let R be a ring with 1. Show that every principal left ideal is generated by an idempotent iff it is a direct summand of ${}_{R}R$

Find all the conjugates of primitive $35th$ root of unity over $\mathbb{F_{13}}$

show that orbits have the same order under the normal subgroup of a transitive group

Abstract Algebra question: If F(x) is the field of rational functions with coefficients in a field F, what is F(x)[t]?

Problems on determining the Primes in $\mathbb{Z}[i]$

How can I show that the polynomial $t^n-x$ is irreducible in $F(x)[t]$?

Show that $x^3-a$ is irreducible in $\mathbb{Z}_7$ unless $a=0$ or $\pm1$

The only ring morphism $\mathbb{R} \rightarrow \mathbb{R}$ is $id_{\mathbb{R}}$ [Proof Verification]

When does a $n \in \mathbb{Z}$ can be written as $n=A^2+B^2$?

Finding generator for Ideal generated by two elements in a PID

$\mathrm{Aut}(\mathrm{Aut}(G))\cong\mathrm{Aut}(G)$ for $G$ a non-abelian simple group

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