Question

Hints to finish proof that $(Q_R/R) \otimes_R (Q_R/R) = 0$?

score 109 · Answer 1 · 2026-04-16 16:40:56

109

Views

Hints to finish proof that $(Q_R/R) \otimes_R (Q_R/R) = 0$?

Published on 16 Apr 2026 - 16:40

score 224 · Answer 2 · 2026-04-14 02:58:01

224

Views

Without using Zorn's Lemma, show that for a countable ring $R$, $\exists$ a maximal proper ideal

Published on 14 Apr 2026 - 2:58

score 84 · Answer 3 · 2026-03-26 06:21:25

84

Views

If an integral domain is ordered, is its field of fractions ordered?

Published on 26 Mar 2026 - 6:21

score 63 · Answer 4 · 2026-05-11 04:23:49

63

Views

$A$-flatness of $\frac{B}{\langle b_i \rangle}$, $A \subseteq B=A[b]$, implies $A$-flatness of $\frac{B}{\langle b_1,b_2 \rangle}$?

Published on 11 May 2026 - 4:23

score 761 · Answer 5 · 2026-04-09 05:29:46

761

Views

If $R$ is a Boolean ring which is in fact a field, then it must be isomorphic to $\mathbb Z / 2 \mathbb Z$

Published on 09 Apr 2026 - 5:29

score 82 · Answer 6 · 2026-04-30 11:56:24

82

Views

if $S$ is a ring with no proper left ideals, then either $S^2=0$ or $S$ is a division ring.

Published on 30 Apr 2026 - 11:56

score 100 · Answer 7 · 2026-04-13 02:04:09

100

Views

Theorem B1 in Matsumura's "Commutative Ring Theory," Appendix B.

Published on 13 Apr 2026 - 2:04

score 73 · Answer 8 · 2026-05-11 03:13:22

73

Views

When flatness of $S$ over $R_i$ implies flatness of $S$ over the ring generated by $R_1,R_2$

Published on 11 May 2026 - 3:13

score 22 · Answer 9 · 2026-04-14 01:00:25

22

Views

Multiplicative structure on solution space of a linear PDE

Published on 14 Apr 2026 - 1:00

score 137 · Answer 10 · 2026-04-11 18:18:31

137

Views

Generators of an ideal that form a regular sequence

Published on 11 Apr 2026 - 18:18

score 77 · Answer 11 · 2026-04-25 18:24:07

77

Views

Prove or disprove that $f(x) + \langle x^3 -1 \rangle$ is a unit in the quotient ring $F[x]/ \langle x^3 -1 \rangle$, for $f(x) = x^2-1$ and $3x^5$

Published on 25 Apr 2026 - 18:24

score 63 · Answer 12 · 2026-05-06 08:44:38

63

Views

square-detecting ideal

Published on 06 May 2026 - 8:44

score 131 · Answer 13 · 2026-04-10 05:41:54

131

Views

How to prove the fundamental theorem of arithmetic for $\mathbb{Z}[\sqrt{d}]$?

Published on 10 Apr 2026 - 5:41

score 91 · Answer 14 · 2026-05-11 07:22:19

91

Views

Ring graded by a non-Abelian monoid

Published on 11 May 2026 - 7:22

score 711 · Answer 15 · 2026-04-09 22:27:14

711

Views

Finding a maximal ideal of $\mathbb{Z}$x$\mathbb{Z}$

Published on 09 Apr 2026 - 22:27

List Question

Hints to finish proof that $(Q_R/R) \otimes_R (Q_R/R) = 0$?

Without using Zorn's Lemma, show that for a countable ring $R$, $\exists$ a maximal proper ideal

If an integral domain is ordered, is its field of fractions ordered?

$A$-flatness of $\frac{B}{\langle b_i \rangle}$, $A \subseteq B=A[b]$, implies $A$-flatness of $\frac{B}{\langle b_1,b_2 \rangle}$?

If $R$ is a Boolean ring which is in fact a field, then it must be isomorphic to $\mathbb Z / 2 \mathbb Z$

if $S$ is a ring with no proper left ideals, then either $S^2=0$ or $S$ is a division ring.

Theorem B1 in Matsumura's "Commutative Ring Theory," Appendix B.

When flatness of $S$ over $R_i$ implies flatness of $S$ over the ring generated by $R_1,R_2$

Multiplicative structure on solution space of a linear PDE

Generators of an ideal that form a regular sequence

Prove or disprove that $f(x) + \langle x^3 -1 \rangle$ is a unit in the quotient ring $F[x]/ \langle x^3 -1 \rangle$, for $f(x) = x^2-1$ and $3x^5$

square-detecting ideal

How to prove the fundamental theorem of arithmetic for $\mathbb{Z}[\sqrt{d}]$?

Ring graded by a non-Abelian monoid

Finding a maximal ideal of $\mathbb{Z}$x$\mathbb{Z}$

Trending Questions

Popular # Hahtags

Popular Questions