List questions from ideals

Published on 14 Jan 2017 - 3:57

177

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Preservation of Socle Under Homomorphisms

Published on 30 Mar 2026 - 4:40

170

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Equality of ideals with two generators

Published on 14 Jan 2017 - 15:45

635

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Exact sequence involving quotient ideals

Published on 28 Mar 2026 - 0:54

327

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Is $\langle xy^2, y^2-y\rangle$ a radical ideal?

Published on 15 Jan 2017 - 15:37

126

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Partial Converse to the Chinese Remainder Theorem

Published on 16 Jan 2017 - 0:20

129

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$R/\mathrm{Soc}(R_R)$ is a Boolean ring, but $R/\mathrm{Soc}( _RR)$ is not

Published on 30 Mar 2026 - 6:19

66

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$S^{-1}J(A)\subseteq J(S^{-1}A)$

Published on 17 Jan 2017 - 20:24

2.4k

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The set of all continuous functions with compact support is ideal??????

Published on 17 Jan 2017 - 20:57

358

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Can someone give an example of an ideal $I \subset R= \Bbb{Z}[x_1,...x_n]$ with $R /I \cong \Bbb{Q}$?

Published on 17 Jan 2017 - 20:59

120

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In a semiprime ring $R$, $Ann_R(S)_r=Ann_R(S)_l$ whenever $S$ is an ideal

Published on 18 Jan 2017 - 16:55

416

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$R = C[0,1]$ What are the unit elements of $R/I$ where $I$ = {all cont. functions on $[0,1]$ |$ f(0) = f(1) = 0$}?

Published on 31 Mar 2026 - 22:47

153

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Note on Peirce decompositions

Published on 30 Mar 2026 - 6:17

778

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Quotient rings and isomorphism theorems, is $((a)+(b))/(b) = (a)$?

Published on 20 Jan 2017 - 16:03

1.1k

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Alternative proof to $M$ maximal $\iff R/M$ is a field

Published on 05 Apr 2026 - 8:36

List Question

$(2,x)$ is not a principal ideal of the ring $\mathbb{Z}[x]$

Preservation of Socle Under Homomorphisms

Equality of ideals with two generators

Exact sequence involving quotient ideals

Is $\langle xy^2, y^2-y\rangle$ a radical ideal?

Partial Converse to the Chinese Remainder Theorem

$R/\mathrm{Soc}(R_R)$ is a Boolean ring, but $R/\mathrm{Soc}( _RR)$ is not

$S^{-1}J(A)\subseteq J(S^{-1}A)$

The set of all continuous functions with compact support is ideal??????

Can someone give an example of an ideal $I \subset R= \Bbb{Z}[x_1,...x_n]$ with $R /I \cong \Bbb{Q}$?

In a semiprime ring $R$, $Ann_R(S)_r=Ann_R(S)_l$ whenever $S$ is an ideal

$R = C[0,1]$ What are the unit elements of $R/I$ where $I$ = {all cont. functions on $[0,1]$ |$ f(0) = f(1) = 0$}?

Note on Peirce decompositions

Quotient rings and isomorphism theorems, is $((a)+(b))/(b) = (a)$?

Alternative proof to $M$ maximal $\iff R/M$ is a field

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