Question

Prove that $U = t · \mathbb{R}[t]$ is a maximal ideal in $\mathbb{R}[t]$

score 48 · Answer 1 · 2026-04-16 05:43:18

48

Views

Prove that $U = t · \mathbb{R}[t]$ is a maximal ideal in $\mathbb{R}[t]$

Published on 16 Apr 2026 - 5:43

score 13.4k · Answer 2 · 2026-04-13 12:09:35

13.4k

Views

Prove that $I \subseteq R$ is prime if and only if $R/I$ is an integral domain.

Published on 13 Apr 2026 - 12:09

score 60 · Answer 3 · 2026-04-15 22:04:57

60

Views

Assume G is a group, x,y is in G; x and y are not identity, but $x^3=1$ and $y^2=1$ and $(xy)^2=1$. Find the order of G and the group table

Published on 15 Apr 2026 - 22:04

score 165 · Answer 4 · 2026-04-16 20:38:55

165

Views

Behavior of the annihilators of modules via monic and epic homomorphisms

Published on 16 Apr 2026 - 20:38

score 74 · Answer 5 · 2026-04-10 23:09:44

74

Views

Is an ideal prime when its complex extension is prime?

Published on 10 Apr 2026 - 23:09

score 177 · Answer 6 · 2026-04-22 10:49:18

177

Views

What happens with $S_n$ in rings, integral domains and fields?

Published on 22 Apr 2026 - 10:49

score 42 · Answer 7 · 2026-04-13 07:47:09

42

Views

1 is gcd(x,y) but 1 cannot be expressed as ax+by where a,b,x,y are in Z[sqrt(-5)].

Published on 13 Apr 2026 - 7:47

score 462 · Answer 8 · 2026-04-22 10:52:46

462

Views

A good introductory book on Ring and Field theory with a view towards Number Theory ?

Published on 22 Apr 2026 - 10:52

score 174 · Answer 9 · 2026-04-08 18:47:33

174

Views

Characteristic of a Ring not making sense.

Published on 08 Apr 2026 - 18:47

score 1.8k · Answer 10 · 2026-04-15 18:34:26

1.8k

Views

Show that $\mathbb{Z}_n$ is local ring iff $n$ is a power of a prime number

Published on 15 Apr 2026 - 18:34

score 954 · Answer 11 · 2026-05-04 13:44:16

954

Views

$A$ is a commutative ring, $P$ is a prime ideal. Prove $A_P$ is local ring

Published on 04 May 2026 - 13:44

score 304 · Answer 12 · 2026-04-12 08:03:33

304

Views

Find kernel of homomorphism of rings

Published on 12 Apr 2026 - 8:03

score 197 · Answer 13 · 2026-05-04 13:44:48

197

Views

$k[t^{a_1},t^{a_2},t^{a_3}]$ in the form $k[x,y,z]/(...)$

Published on 04 May 2026 - 13:44

score 1.2k · Answer 14 · 2026-05-04 13:44:27

1.2k

Views

Prime ideals in $A$ and prime ideals in $S^{-1}A$

Published on 04 May 2026 - 13:44

score 115 · Answer 15 · 2026-04-12 18:37:27

115

Views

Polynomials in the extension of a complete field

Published on 12 Apr 2026 - 18:37

List Question

Prove that $U = t · \mathbb{R}[t]$ is a maximal ideal in $\mathbb{R}[t]$

Prove that $I \subseteq R$ is prime if and only if $R/I$ is an integral domain.

Assume G is a group, x,y is in G; x and y are not identity, but $x^3=1$ and $y^2=1$ and $(xy)^2=1$. Find the order of G and the group table

Behavior of the annihilators of modules via monic and epic homomorphisms

Is an ideal prime when its complex extension is prime?

What happens with $S_n$ in rings, integral domains and fields?

1 is gcd(x,y) but 1 cannot be expressed as ax+by where a,b,x,y are in Z[sqrt(-5)].

A good introductory book on Ring and Field theory with a view towards Number Theory ?

Characteristic of a Ring not making sense.

Show that $\mathbb{Z}_n$ is local ring iff $n$ is a power of a prime number

$A$ is a commutative ring, $P$ is a prime ideal. Prove $A_P$ is local ring

Find kernel of homomorphism of rings

$k[t^{a_1},t^{a_2},t^{a_3}]$ in the form $k[x,y,z]/(...)$

Prime ideals in $A$ and prime ideals in $S^{-1}A$

Polynomials in the extension of a complete field

Trending Questions

Popular # Hahtags

Popular Questions