Question

Non-uniqueness of minimal polynomial for integral extensions

score 245 · Answer 1 · 2026-04-10 09:20:40

245

Views

Non-uniqueness of minimal polynomial for integral extensions

Published on 10 Apr 2026 - 9:20

score 118 · Answer 2 · 2026-04-09 06:09:00

118

Views

How many meanings does $\mathbb{Z}_p$ have?

Published on 09 Apr 2026 - 6:09

score 36 · Answer 3 · 2026-04-16 18:08:50

36

Views

Given $A=\{(x,y)\in\mathbb{R}^2 \mid (x+m)^2-(y-m)^2=1\}$. Find $f(A)$ and $f^{-1}(A)$

Published on 16 Apr 2026 - 18:08

score 52 · Answer 4 · 2026-04-15 15:25:44

52

Views

Does the same construction that yields $K$-vector spaces when $K$ is a field yield free $K$-modules when $K$ is a ring?

Published on 15 Apr 2026 - 15:25

score 207 · Answer 5 · 2026-04-15 04:48:40

207

Views

Let $(A,+,*)$ be a ring with $9$ elements. Show that the following statements are equivalent

Published on 15 Apr 2026 - 4:48

score 1.8k · Answer 6 · 2026-04-16 12:05:44

1.8k

Views

Algebraic closure of the $p$-adic integers

Published on 16 Apr 2026 - 12:05

score 190 · Answer 7 · 2026-04-22 02:33:33

190

Views

How to show that $(S\cup\{0\},\ge)$ is order-isomorphic to $(S,\ge)$?

Published on 22 Apr 2026 - 2:33

score 134 · Answer 8 · 2026-04-13 06:00:50

134

Views

Image of an element under a Galois group

Published on 13 Apr 2026 - 6:00

score 31 · Answer 9 · 2026-04-12 01:45:40

31

Views

Proof verification: For isomorphism $\phi: G\to H$, show that $|\phi (a)|=|a|$ for all $a\in G$.

Published on 12 Apr 2026 - 1:45

score 631 · Answer 10 · 2026-04-13 05:03:29

631

Views

In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Published on 13 Apr 2026 - 5:03

score 77 · Answer 11 · 2026-04-08 16:22:04

77

Views

Proof about groups and subgroups

Published on 08 Apr 2026 - 16:22

score 1.9k · Answer 12 · 2026-04-15 02:54:40

1.9k

Views

Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

Published on 15 Apr 2026 - 2:54

score 123 · Answer 13 · 2026-04-18 15:30:02

123

Views

Are these two rings isomorphic? And can I use the chinese remainder theorem to prove it?

Published on 18 Apr 2026 - 15:30

score 368 · Answer 14 · 2026-04-22 15:59:02

368

Views

Basic question on exact sequences and $\mathbb Z_n$

Published on 22 Apr 2026 - 15:59

score 317 · Answer 15 · 2026-04-17 03:09:39

317

Views

Holomorph of a group $G$, then the automorphism of $G$ are inner automorphisms

Published on 17 Apr 2026 - 3:09

List Question

Non-uniqueness of minimal polynomial for integral extensions

How many meanings does $\mathbb{Z}_p$ have?

Given $A=\{(x,y)\in\mathbb{R}^2 \mid (x+m)^2-(y-m)^2=1\}$. Find $f(A)$ and $f^{-1}(A)$

Does the same construction that yields $K$-vector spaces when $K$ is a field yield free $K$-modules when $K$ is a ring?

Let $(A,+,*)$ be a ring with $9$ elements. Show that the following statements are equivalent

Algebraic closure of the $p$-adic integers

How to show that $(S\cup\{0\},\ge)$ is order-isomorphic to $(S,\ge)$?

Image of an element under a Galois group

Proof verification: For isomorphism $\phi: G\to H$, show that $|\phi (a)|=|a|$ for all $a\in G$.

In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Proof about groups and subgroups

Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

Are these two rings isomorphic? And can I use the chinese remainder theorem to prove it?

Basic question on exact sequences and $\mathbb Z_n$

Holomorph of a group $G$, then the automorphism of $G$ are inner automorphisms

Trending Questions

Popular # Hahtags

Popular Questions