Question

When do we have $Na=Ma\cap N~?$

score 25 · Answer 1 · 2026-04-01 15:36:25

25

Views

When do we have $Na=Ma\cap N~?$

Published on 01 Apr 2026 - 15:36

score 160 · Answer 2 · 2019-02-27 20:02:54

160

Views

Do automorphisms of quotient fields preserve the underlying ring?

Published on 27 Feb 2019 - 20:02

score 810 · Answer 3 · 2026-03-27 19:33:40

810

Views

Unit-monic $f\mid g$ in $R[x]$ if $f\mid g$ in $S[x]$ for rings $S\supset R$

Published on 27 Mar 2026 - 19:33

score 88 · Answer 4 · 2026-03-25 06:58:55

88

Views

If $R$ is an n-fir, why free $R$-modules of rank at most $n$ have unique rank?

Published on 25 Mar 2026 - 6:58

score 480 · Answer 5 · 2019-02-28 03:18:20

480

Views

Row and column finite infinite matrices over $\mathbb{C}$

Published on 28 Feb 2019 - 3:18

score 565 · Answer 6 · 2019-02-28 03:40:08

565

Views

What is the dimension of $\Bbb Q[x]/\langle (x+1)^2 \rangle$ over $\Bbb Q$?

Published on 28 Feb 2019 - 3:40

score 453 · Answer 7 · 2019-02-28 08:03:14

453

Views

Prove that a ring $R$ has a unique 1

Published on 28 Feb 2019 - 8:03

score 102 · Answer 8 · 2019-02-28 09:56:32

102

Views

$x+x^2+x^3=x^4+x^5+x^6$ implies $x^4=x$ in a ring

Published on 28 Feb 2019 - 9:56

score 1.7k · Answer 9 · 2026-03-25 18:57:46

1.7k

Views

Spectrum of the ring of formal power series over integers

Published on 25 Mar 2026 - 18:57

score 487 · Answer 10 · 2026-03-26 11:07:05

487

Views

Difficulty in showing $\mathbb Z[\frac{1+\sqrt{-7}}{2}]$ is euclidean domain using another way

Published on 26 Mar 2026 - 11:07

score 123 · Answer 11 · 2019-02-28 15:54:12

123

Views

If $R$ is a domain and $a \in R$ satisfies $a^2=a$, prove that either $a=0$ or $a=1$

Published on 28 Feb 2019 - 15:54

score 731 · Answer 12 · 2019-03-01 03:49:06

731

Views

If $P$ is a prime ideal of a commutative ring $R$, then $R[x]/P[x]$ is isomorphic to $(R/P)[x]$

Published on 01 Mar 2019 - 3:49

score 137 · Answer 13 · 2026-03-29 10:15:18

137

Views

There exists a prime ideal not containing non-nilpotent element

Published on 29 Mar 2026 - 10:15

score 125 · Answer 14 · 2026-03-30 13:23:00

125

Views

Does a ring homomorphism $\phi: R \rightarrow S$ give rise to any map $\psi: R/I \rightarrow S/J?$

Published on 30 Mar 2026 - 13:23

score 64 · Answer 15 · 2026-03-31 10:07:38

64

Views

When is $A[y]/(f(y))$ isomorphic to $A[a]$?

Published on 31 Mar 2026 - 10:07

List Question

When do we have $Na=Ma\cap N~?$

Do automorphisms of quotient fields preserve the underlying ring?

Unit-monic $f\mid g$ in $R[x]$ if $f\mid g$ in $S[x]$ for rings $S\supset R$

If $R$ is an n-fir, why free $R$-modules of rank at most $n$ have unique rank?

Row and column finite infinite matrices over $\mathbb{C}$

What is the dimension of $\Bbb Q[x]/\langle (x+1)^2 \rangle$ over $\Bbb Q$?

Prove that a ring $R$ has a unique 1

$x+x^2+x^3=x^4+x^5+x^6$ implies $x^4=x$ in a ring

Spectrum of the ring of formal power series over integers

Difficulty in showing $\mathbb Z[\frac{1+\sqrt{-7}}{2}]$ is euclidean domain using another way

If $R$ is a domain and $a \in R$ satisfies $a^2=a$, prove that either $a=0$ or $a=1$

If $P$ is a prime ideal of a commutative ring $R$, then $R[x]/P[x]$ is isomorphic to $(R/P)[x]$

There exists a prime ideal not containing non-nilpotent element

Does a ring homomorphism $\phi: R \rightarrow S$ give rise to any map $\psi: R/I \rightarrow S/J?$

When is $A[y]/(f(y))$ isomorphic to $A[a]$?

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