Question

Quotient homomorphisms of rings and point functor

score 55 · Answer 1 · 2026-04-13 02:35:09

55

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Quotient homomorphisms of rings and point functor

Published on 13 Apr 2026 - 2:35

score 1.1k · Answer 2 · 2026-04-10 18:18:26

1.1k

Views

Is it precise to say a ring is an algebra?

Published on 10 Apr 2026 - 18:18

score 82 · Answer 3 · 2019-09-23 16:23:41

82

Views

Give examples of the following rings (concerning identities)

Published on 23 Sep 2019 - 16:23

score 109 · Answer 4 · 2026-04-13 02:01:44

109

Views

If $u,v$ and $auvb$ are units, then is $ba$ a unit?

Published on 13 Apr 2026 - 2:01

score 148 · Answer 5 · 2019-09-23 17:49:06

148

Views

Determining an $\mathbb{R}$-basis for $\mathbb{R}[x,y]/(x^2-x,y^2-y)$.

Published on 23 Sep 2019 - 17:49

score 2k · Answer 6 · 2026-04-10 06:40:38

2k

Views

Is every group the unit group of some ring?

Published on 10 Apr 2026 - 6:40

score 33 · Answer 7 · 2026-04-03 23:25:57

33

Views

$M,N$ graded module over graded ring $S$. Then $f\in S_d,m\in M_k,n\in N_l$, $f(m\otimes n)=(fm)\otimes n+m\otimes (fn)$?

Published on 03 Apr 2026 - 23:25

score 103 · Answer 8 · 2026-04-08 19:41:20

103

Views

Any finite subgroup of a multiplicative group of a field is cyclic.

Published on 08 Apr 2026 - 19:41

score 751 · Answer 9 · 2026-04-12 01:03:39

751

Views

Show that $\mathbb{Z}[\sqrt{-2}]$ is unique factorization domain.

Published on 12 Apr 2026 - 1:03

score 217 · Answer 10 · 2019-09-24 13:44:35

217

Views

Subring of $\text{End}(V)$ generated by $\text{GL}(V)$

Published on 24 Sep 2019 - 13:44

score 229 · Answer 11 · 2026-04-11 13:29:57

229

Views

Is there a subring of $M_2(\mathbb{R})$ ring-isomorphic to $\mathbb{H}?$

Published on 11 Apr 2026 - 13:29

score 561 · Answer 12 · 2019-09-24 14:30:07

561

Views

Example of a ring $R$ such that some maximal ideal of $R[x]$ contracts to a non-maximal ideal of $R$.

Published on 24 Sep 2019 - 14:30

score 33 · Answer 13 · 2026-04-10 17:26:52

33

Views

Weak Topological Structure in Integral Dependence.

Published on 10 Apr 2026 - 17:26

score 50 · Answer 14 · 2019-09-24 19:29:33

50

Views

Show that $\mathbb{R}[T]/(T-1)\equiv \mathbb{R}$ and $\mathbb{R}[T]/(T^2+1)\equiv \mathbb{C}$

Published on 24 Sep 2019 - 19:29

score 148 · Answer 15 · 2026-04-12 06:18:02

148

Views

$\mathbb{Z}[\sqrt d]$ and gcd(which point do I have a wrong?)

Published on 12 Apr 2026 - 6:18

List Question

Quotient homomorphisms of rings and point functor

Is it precise to say a ring is an algebra?

Give examples of the following rings (concerning identities)

If $u,v$ and $auvb$ are units, then is $ba$ a unit?

Determining an $\mathbb{R}$-basis for $\mathbb{R}[x,y]/(x^2-x,y^2-y)$.

Is every group the unit group of some ring?

$M,N$ graded module over graded ring $S$. Then $f\in S_d,m\in M_k,n\in N_l$, $f(m\otimes n)=(fm)\otimes n+m\otimes (fn)$?

Any finite subgroup of a multiplicative group of a field is cyclic.

Show that $\mathbb{Z}[\sqrt{-2}]$ is unique factorization domain.

Subring of $\text{End}(V)$ generated by $\text{GL}(V)$

Is there a subring of $M_2(\mathbb{R})$ ring-isomorphic to $\mathbb{H}?$

Example of a ring $R$ such that some maximal ideal of $R[x]$ contracts to a non-maximal ideal of $R$.

Weak Topological Structure in Integral Dependence.

Show that $\mathbb{R}[T]/(T-1)\equiv \mathbb{R}$ and $\mathbb{R}[T]/(T^2+1)\equiv \mathbb{C}$

$\mathbb{Z}[\sqrt d]$ and gcd(which point do I have a wrong?)

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