Question

Show that the ring $k[x,y,z]/(x^2-yz)$ is normal

score 646 · Answer 1 · 2019-03-16 12:34:41

646

Views

Show that the ring $k[x,y,z]/(x^2-yz)$ is normal

Published on 16 Mar 2019 - 12:34

score 127 · Answer 2 · 2026-03-25 01:20:29

127

Views

What are the inverses in the Grothendieck group of a module category?

Published on 25 Mar 2026 - 1:20

score 77 · Answer 3 · 2019-03-16 18:06:42

77

Views

Say if there is an element in $\Bbb Z_{900}$ with 30 as additive and multiplicative order

Published on 16 Mar 2019 - 18:06

score 102 · Answer 4 · 2019-03-17 00:43:40

102

Views

Is there a name for this quaternion-like algebra?

Published on 17 Mar 2019 - 0:43

score 328 · Answer 5 · 2026-03-30 15:00:35

328

Views

Form of ideal generated by a set in non-commutative case

Published on 30 Mar 2026 - 15:00

score 140 · Answer 6 · 2019-03-17 11:23:03

140

Views

$x^2-xy+y^2=n$ how many solutions

Published on 17 Mar 2019 - 11:23

score 268 · Answer 7 · 2026-02-23 04:20:36

268

Views

$A \subset B$ be integral and flat extension then it is faithfully flat.

Published on 23 Feb 2026 - 4:20

score 32 · Answer 8 · 2026-03-30 16:46:45

32

Views

Let I be a f.g. ideal of R. Let S be the set of ideals J which do not include I. Show S has maximal element.

Published on 30 Mar 2026 - 16:46

score 118 · Answer 9 · 2026-03-25 07:42:01

118

Views

Let R be UFD. Consider $R[[x]]$

Published on 25 Mar 2026 - 7:42

score 16 · Answer 10 · 2026-03-11 04:44:22

16

Views

Understanding elements $a\in I$ where $I$ is the minimal ideal containing elements of a special property

Published on 11 Mar 2026 - 4:44

score 289 · Answer 11 · 2026-03-25 12:28:18

289

Views

Zero divisors of $\mathbb{Z}_{7}[x] / (x^4+x^3-3)$ and inverse element of $\overline{x+1}$

Published on 25 Mar 2026 - 12:28

score 94 · Answer 12 · 2019-03-18 16:52:20

94

Views

How many elements has the multiplicative group of this ring?

Published on 18 Mar 2019 - 16:52

score 1.8k · Answer 13 · 2026-04-01 21:26:06

1.8k

Views

Showing that $R^n \otimes_R R^m$ is isomorphic to $R^{nm}$ when $R$ is commutative

Published on 01 Apr 2026 - 21:26

score 86 · Answer 14 · 2026-03-26 09:45:00

86

Views

Linear codes over rings

Published on 26 Mar 2026 - 9:45

score 135 · Answer 15 · 2026-03-25 07:48:43

135

Views

$a,b \in \mathbb Z$ we have that $a+ b\phi \in \mathbb Z[\phi]^* \iff a^2 +ab-b^2 = \pm 1$

Published on 25 Mar 2026 - 7:48

List Question

Show that the ring $k[x,y,z]/(x^2-yz)$ is normal

What are the inverses in the Grothendieck group of a module category?

Say if there is an element in $\Bbb Z_{900}$ with 30 as additive and multiplicative order

Is there a name for this quaternion-like algebra?

Form of ideal generated by a set in non-commutative case

$x^2-xy+y^2=n$ how many solutions

$A \subset B$ be integral and flat extension then it is faithfully flat.

Let I be a f.g. ideal of R. Let S be the set of ideals J which do not include I. Show S has maximal element.

Let R be UFD. Consider $R[[x]]$

Understanding elements $a\in I$ where $I$ is the minimal ideal containing elements of a special property

Zero divisors of $\mathbb{Z}_{7}[x] / (x^4+x^3-3)$ and inverse element of $\overline{x+1}$

How many elements has the multiplicative group of this ring?

Showing that $R^n \otimes_R R^m$ is isomorphic to $R^{nm}$ when $R$ is commutative

Linear codes over rings

$a,b \in \mathbb Z$ we have that $a+ b\phi \in \mathbb Z[\phi]^* \iff a^2 +ab-b^2 = \pm 1$

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