Question

Understanding Fraleigh's proof of that the set $R[x]$ obeys associativity w.r.t. multiplication

score 111 · Answer 1 · 2026-05-14 16:00:39

111

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Understanding Fraleigh's proof of that the set $R[x]$ obeys associativity w.r.t. multiplication

Published on 14 May 2026 - 16:00

score 453 · Answer 2 · 2026-03-26 03:12:48

453

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Affine scheme which is connected but not irreducible and not reduced.

Published on 26 Mar 2026 - 3:12

score 59 · Answer 3 · 2026-04-14 16:57:48

59

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On maximal ideals

Published on 14 Apr 2026 - 16:57

score 59 · Answer 4 · 2026-03-25 23:36:51

59

Views

$(\mathbb{Z}/18\mathbb{Z})/(6\mathbb{Z}/18\mathbb{Z})\cong\mathbb{Z}/6\mathbb{Z}$ Proof

Published on 25 Mar 2026 - 23:36

score 340 · Answer 5 · 2026-03-28 04:50:47

340

Views

Describe prime ideals and Krull dimension of $\overline{\mathbb{Q}} \otimes_{\mathbb{Q}} \overline{\mathbb{Q}}$

Published on 28 Mar 2026 - 4:50

score 29 · Answer 6 · 2026-04-14 20:52:46

29

Views

$I=\langle \{2,3,4,...\}\rangle $ is maximal ideal of $(P(\mathbb{N}),\Delta,\cap)$

Published on 14 Apr 2026 - 20:52

score 293 · Answer 7 · 2026-04-15 22:16:10

293

Views

Example of the non-commutative ring with the set of units are commutative

Published on 15 Apr 2026 - 22:16

score 49 · Answer 8 · 2026-04-16 21:06:52

49

Views

Examples where $1+I$ is inverted but $I$ is not mapped into the Jacobson radical

Published on 16 Apr 2026 - 21:06

score 39 · Answer 9 · 2026-04-15 14:43:09

39

Views

If a commutative ring with $1$ does not have a unit of order $2$, then $R$ does not have an element of order $2$.

Published on 15 Apr 2026 - 14:43

score 180 · Answer 10 · 2026-03-26 17:33:05

180

Views

On the ring $\frac{\mathbb{Q}[x]}I$ , where $I=\langle x^2-x\rangle$

Published on 26 Mar 2026 - 17:33

score 198 · Answer 11 · 2026-05-11 06:19:19

198

Views

Is $k[x,xy] \subseteq k[x,y]$ a flat ring extension?

Published on 11 May 2026 - 6:19

score 47 · Answer 12 · 2026-05-05 20:28:54

47

Views

Understanding Fraleigh's derivation of Fermat's Little Theorem

Published on 05 May 2026 - 20:28

score 394 · Answer 13 · 2026-05-11 03:14:07

394

Views

Algebraic Extensions of Z_7 with polynomials?

Published on 11 May 2026 - 3:14

score 80 · Answer 14 · 2026-04-14 15:49:48

80

Views

Why in a von Neumann regular ring do we have that $ax(1+x)=1+x?$

Published on 14 Apr 2026 - 15:49

score 179 · Answer 15 · 2026-04-14 08:37:20

179

Views

Does $a=ea$ and $ae=eae$ for some $a\in R$, imply that $a=e$ for any idempotent $e$ in $R$?

Published on 14 Apr 2026 - 8:37

List Question

Understanding Fraleigh's proof of that the set $R[x]$ obeys associativity w.r.t. multiplication

Affine scheme which is connected but not irreducible and not reduced.

On maximal ideals

$(\mathbb{Z}/18\mathbb{Z})/(6\mathbb{Z}/18\mathbb{Z})\cong\mathbb{Z}/6\mathbb{Z}$ Proof

Describe prime ideals and Krull dimension of $\overline{\mathbb{Q}} \otimes_{\mathbb{Q}} \overline{\mathbb{Q}}$

$I=\langle \{2,3,4,...\}\rangle $ is maximal ideal of $(P(\mathbb{N}),\Delta,\cap)$

Example of the non-commutative ring with the set of units are commutative

Examples where $1+I$ is inverted but $I$ is not mapped into the Jacobson radical

If a commutative ring with $1$ does not have a unit of order $2$, then $R$ does not have an element of order $2$.

On the ring $\frac{\mathbb{Q}[x]}I$ , where $I=\langle x^2-x\rangle$

Is $k[x,xy] \subseteq k[x,y]$ a flat ring extension?

Understanding Fraleigh's derivation of Fermat's Little Theorem

Algebraic Extensions of Z_7 with polynomials?

Why in a von Neumann regular ring do we have that $ax(1+x)=1+x?$

Does $a=ea$ and $ae=eae$ for some $a\in R$, imply that $a=e$ for any idempotent $e$ in $R$?

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