Question

How do we find ideals the ring $\mathbb R[X_0, X_1, ..., X_n,...]$? How do we show that each of these ideals are not finitely generated?

score 275 · Answer 1 · 2026-03-27 23:35:26

275

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How do we find ideals the ring $\mathbb R[X_0, X_1, ..., X_n,...]$? How do we show that each of these ideals are not finitely generated?

Published on 27 Mar 2026 - 23:35

score 55 · Answer 2 · 2026-04-10 20:26:06

55

Views

Proofs by counter example

Published on 10 Apr 2026 - 20:26

score 210 · Answer 3 · 2026-04-12 06:40:56

210

Views

Does a "good explanation" constitute a proof?

Published on 12 Apr 2026 - 6:40

score 583 · Answer 4 · 2018-04-11 23:05:05

583

Views

Suppose $f \circ g$ is one-to-one and $f$ is not one-to-one. Show that $g$ is not onto.

Published on 11 Apr 2018 - 23:05

score 94 · Answer 5 · 2026-04-12 12:34:34

94

Views

proving irrationality by using root 2

Published on 12 Apr 2026 - 12:34

score 122 · Answer 6 · 2026-03-25 09:29:04

What is the minimum size of the set and minimum power of a strict relation that can be used for a base case in an inductive proof?

score 182 · Answer 7 · 2026-03-25 18:31:24

182

Views

Proving that if $\lim\limits_{n\to\infty}a_n=+\infty$ and $\{b_n\}$ is a bounded sequence, then $\lim\limits_{n\to\infty}(a_n+b_n)=+\infty$

Published on 25 Mar 2026 - 18:31

score 2.5k · Answer 8 · 2026-04-11 03:18:01

2.5k

Views

Can a bipartite graph have only 3 vertices?

Published on 11 Apr 2026 - 3:18

score 131 · Answer 9 · 2026-04-09 15:19:48

131

Views

Proving a Unique Linear Transformation

Published on 09 Apr 2026 - 15:19

score 48 · Answer 10 · 2026-03-25 02:59:03

48

Views

Write down this very logical theorem about the absolute value

Published on 25 Mar 2026 - 2:59

score 120 · Answer 11 · 2026-04-10 12:29:13

120

Views

What is the difference between these two statements; which is true and which is false?

Published on 10 Apr 2026 - 12:29

score 117 · Answer 12 · 2026-03-26 17:33:30

117

Views

Suppose $(a)_{j=1}^{\infty}$ is a sequence of real numbers. prove by induction on n that $|\sum_{j=1}^{n}a_j|\leq\sum_{j=1}^{n}|a_j|$

Published on 26 Mar 2026 - 17:33

score 42 · Answer 13 · 2026-03-25 03:04:03

42

Views

Proving $\forall a\;\exists b\;\forall c,d$ such that $|c-d|≤b ∨|c^2-d^2|>a$ (with all values positive reals)

Published on 25 Mar 2026 - 3:04

score 41 · Answer 14 · 2026-03-25 13:13:28

41

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Proving $\forall s\in\mathbb{N},(\exists x \in\mathbb{N},s^2=3x)∨(\exists y\in\mathbb{N},s^2=3y-2)$

Published on 25 Mar 2026 - 13:13

score 183 · Answer 15 · 2026-04-09 02:42:02

183

Views

Show that $\text{C}/c \cong (c/(\text{C}^{\text{op}}))^{\text{op}}$

Published on 09 Apr 2026 - 2:42

List Question

How do we find ideals the ring $\mathbb R[X_0, X_1, ..., X_n,...]$? How do we show that each of these ideals are not finitely generated?

Proofs by counter example

Does a "good explanation" constitute a proof?

Suppose $f \circ g$ is one-to-one and $f$ is not one-to-one. Show that $g$ is not onto.

proving irrationality by using root 2

What is the minimum size of the set and minimum power of a strict relation that can be used for a base case in an inductive proof?

Proving that if $\lim\limits_{n\to\infty}a_n=+\infty$ and $\{b_n\}$ is a bounded sequence, then $\lim\limits_{n\to\infty}(a_n+b_n)=+\infty$

Can a bipartite graph have only 3 vertices?

Proving a Unique Linear Transformation

Write down this very logical theorem about the absolute value

What is the difference between these two statements; which is true and which is false?

Suppose $(a)_{j=1}^{\infty}$ is a sequence of real numbers. prove by induction on n that $|\sum_{j=1}^{n}a_j|\leq\sum_{j=1}^{n}|a_j|$

Proving $\forall a\;\exists b\;\forall c,d$ such that $|c-d|≤b ∨|c^2-d^2|>a$ (with all values positive reals)

Proving $\forall s\in\mathbb{N},(\exists x \in\mathbb{N},s^2=3x)∨(\exists y\in\mathbb{N},s^2=3y-2)$

Show that $\text{C}/c \cong (c/(\text{C}^{\text{op}}))^{\text{op}}$

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