List questions from ring-theory

Published on 29 Sep 2018 - 19:57

63

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If $X \subseteq R^n$ generates the null space of $A \in M_{m,n}(R)$, does it still generate the null space when we pass to an extension ring?

Published on 28 Mar 2026 - 20:08

183

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Inverse limit of a system of rings and ring homomorphism basic questions

Published on 29 Sep 2018 - 21:40

841

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Finding number of distinct polynomial from $\mathbb{Z}_2$ to $\mathbb{Z}_2$

Published on 30 Sep 2018 - 13:18

46

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Finding a small prime ideal above an ideal

Published on 28 Mar 2026 - 10:03

467

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A particular proof of the existence of infinitely many right-inverses

Published on 01 Oct 2018 - 15:54

138

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Derivation that is a homomorphism of modules

Published on 01 Oct 2018 - 16:30

66

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In $R=\mathbb{C}[x,y]$: why is $(x,y-1)+(x-1,y)=R$?

Published on 01 Oct 2018 - 18:04

113

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Is $\mathbb{Z}_p [x]$ finite?

Published on 01 Oct 2018 - 19:16

160

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decomposition of the polynomial ring in $n$ indeterminates

Published on 29 Mar 2026 - 11:43

118

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Ideal of a ring with element $-1$

Published on 02 Oct 2018 - 4:50

400

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Homomorphsim preimage of a principal ideal still principal

Published on 02 Oct 2018 - 12:13

55

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find the inverse of $2 \times 2$ matrix

Published on 28 Mar 2026 - 20:07

1.5k

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Understanding subfield test ( intuitive )

Published on 28 Mar 2026 - 11:53

253

Views

How to find all invertible elements in $F_3/(f(x))$

Published on 02 Oct 2018 - 20:58

List Question

Serre's Criterion for Normality & Depth of a Ring

If $X \subseteq R^n$ generates the null space of $A \in M_{m,n}(R)$, does it still generate the null space when we pass to an extension ring?

Inverse limit of a system of rings and ring homomorphism basic questions

Finding number of distinct polynomial from $\mathbb{Z}_2$ to $\mathbb{Z}_2$

Finding a small prime ideal above an ideal

A particular proof of the existence of infinitely many right-inverses

Derivation that is a homomorphism of modules

In $R=\mathbb{C}[x,y]$: why is $(x,y-1)+(x-1,y)=R$?

Is $\mathbb{Z}_p [x]$ finite?

decomposition of the polynomial ring in $n$ indeterminates

Ideal of a ring with element $-1$

Homomorphsim preimage of a principal ideal still principal

find the inverse of $2 \times 2$ matrix

Understanding subfield test ( intuitive )

How to find all invertible elements in $F_3/(f(x))$

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