Question

the ring $\mathbb{Z}[i]/<2+2i>$

score 651 · Answer 1 · 2026-05-10 16:08:12

651

Views

the ring $\mathbb{Z}[i]/<2+2i>$

Published on 10 May 2026 - 16:08

score 45 · Answer 2 · 2026-04-13 14:54:17

45

Views

Is there a way to order the maximal ideals of the ring of integers? Is there an order structure to maximal ideals?

Published on 13 Apr 2026 - 14:54

score 99 · Answer 3 · 2026-04-14 22:03:44

99

Views

Let $R$ be a ring such that $a+b = a \cdot b, \; \forall \, a, b \in R$. Show that $R= \{0\}.$

Published on 14 Apr 2026 - 22:03

score 902 · Answer 4 · 2026-03-27 22:19:20

902

Views

Localisation of a ring

Published on 27 Mar 2026 - 22:19

score 636 · Answer 5 · 2026-04-16 02:03:46

636

Views

$\phi : R \to R’$ is an onto ring homomorphism. $1 \in R$. Then $\phi(1) \in R’$ is the unit element of $R’$.

Published on 16 Apr 2026 - 2:03

score 61 · Answer 6 · 2026-04-16 14:51:35

61

Views

Reference Request - an approachable survey of Gauss' work on the class number of quadratic number fields using quadratic forms

Published on 16 Apr 2026 - 14:51

score 98 · Answer 7 · 2026-03-25 19:51:38

98

Views

If $R$ is IBN, do we have $K\oplus R^{n}\cong R^n\implies K=0$?

Published on 25 Mar 2026 - 19:51

score 197 · Answer 8 · 2026-04-12 09:17:16

197

Views

Can we compute the class number of an algebraic number field without using the Minkowski bound?

Published on 12 Apr 2026 - 9:17

score 241 · Answer 9 · 2026-04-16 10:59:08

241

Views

Prove that the set of all nilpotent elements are present in prime ideal

Published on 16 Apr 2026 - 10:59

score 41 · Answer 10 · 2026-04-17 11:48:28

41

Views

On the characterization of Prüfer rings

Published on 17 Apr 2026 - 11:48

score 58 · Answer 11 · 2026-04-15 08:06:12

58

Views

A structure which looks almost like a semi-ring.

Published on 15 Apr 2026 - 8:06

score 103 · Answer 12 · 2026-04-09 06:20:38

103

Views

Must $\operatorname{Soc}(R)^2 =\operatorname{Soc}(R)^3$ (for a ring $R$)?

Published on 09 Apr 2026 - 6:20

score 99 · Answer 13 · 2026-04-12 05:42:47

99

Views

Show $(29,x^2+1)\subset\mathbb{Z}[x]$ is not a maximal ideal

Published on 12 Apr 2026 - 5:42

score 457 · Answer 14 · 2026-04-15 17:20:28

457

Views

Is there any maximal ideal that contains the unity element of a ring?

Published on 15 Apr 2026 - 17:20

score 93 · Answer 15 · 2026-04-13 20:26:00

93

Views

Residue field extension is normal

Published on 13 Apr 2026 - 20:26

List Question

the ring $\mathbb{Z}[i]/<2+2i>$

Is there a way to order the maximal ideals of the ring of integers? Is there an order structure to maximal ideals?

Let $R$ be a ring such that $a+b = a \cdot b, \; \forall \, a, b \in R$. Show that $R= \{0\}.$

Localisation of a ring

$\phi : R \to R’$ is an onto ring homomorphism. $1 \in R$. Then $\phi(1) \in R’$ is the unit element of $R’$.

Reference Request - an approachable survey of Gauss' work on the class number of quadratic number fields using quadratic forms

If $R$ is IBN, do we have $K\oplus R^{n}\cong R^n\implies K=0$?

Can we compute the class number of an algebraic number field without using the Minkowski bound?

Prove that the set of all nilpotent elements are present in prime ideal

On the characterization of Prüfer rings

A structure which looks almost like a semi-ring.

Must $\operatorname{Soc}(R)^2 =\operatorname{Soc}(R)^3$ (for a ring $R$)?

Show $(29,x^2+1)\subset\mathbb{Z}[x]$ is not a maximal ideal

Is there any maximal ideal that contains the unity element of a ring?

Residue field extension is normal

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