List questions from ideals

Published on 06 Aug 2018 - 15:13

122

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How to count the number of elements in $(\mathbb{Z}[i]/I^{2014})\otimes_{\mathbb{Z}[i]}(\mathbb{Z}[i]/J^{2014})$?

Published on 25 Mar 2026 - 4:41

117

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Prove that the image of an ideal under a ring homomorphism $\mathbb Z[x]/I\to M_2(\mathbb Z)$ is not an ideal

Published on 06 Aug 2018 - 18:35

2.1k

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Definition of a closed ideal in a $C^*$ algebra

Published on 26 Mar 2026 - 21:26

292

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Ideal is maximal iff the zero ideal is maximal in the quotient ring

Published on 25 Mar 2026 - 23:09

54

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What kind of radical makes sense?

Published on 09 Aug 2018 - 16:31

312

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Show that every nonzero prime ideal in $\mathbb{C}[x, y]/(x^2 - y^2 - 1)$ is maximal

Published on 25 Mar 2026 - 6:05

26

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For which $k$ do we get $f_k(t)=1$ ?

Published on 10 Aug 2018 - 8:05

596

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Maximal ideals are prime ideals in the non-commutative case

Published on 28 Mar 2026 - 8:31

73

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Affine algebraic varieties associated with arbitrary sets

Published on 25 Mar 2026 - 2:59

379

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Is $k[x,y]/\langle y-x^2\rangle = k[x,x^2]/\langle x^2-x^2\rangle = k[x,x^2] = k[x]$ a valid argument?

Published on 12 Aug 2018 - 19:04

77

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Show that $z - xy$ is in the ideal $I = \langle 2x-1, 3y-1, 6z-1 \rangle$ in $\mathbb{Z}[x,y,z]$

Published on 25 Mar 2026 - 19:07

239

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Noncommutative rings and prime/maximal ideals

Published on 25 Mar 2026 - 7:41

74

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Integral ideals intersected with $\mathbb Z$

Published on 25 Mar 2026 - 7:39

42

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Ideal quotients - when does $I:h^2 = I:h$ hold?

Published on 14 Aug 2018 - 19:01

List Question

Is $(x+1, y+1)$ a proper ideal of $\mathbb{C}[x,y]$?

How to count the number of elements in $(\mathbb{Z}[i]/I^{2014})\otimes_{\mathbb{Z}[i]}(\mathbb{Z}[i]/J^{2014})$?

Prove that the image of an ideal under a ring homomorphism $\mathbb Z[x]/I\to M_2(\mathbb Z)$ is not an ideal

Definition of a closed ideal in a $C^*$ algebra

Ideal is maximal iff the zero ideal is maximal in the quotient ring

What kind of radical makes sense?

Show that every nonzero prime ideal in $\mathbb{C}[x, y]/(x^2 - y^2 - 1)$ is maximal

For which $k$ do we get $f_k(t)=1$ ?

Maximal ideals are prime ideals in the non-commutative case

Affine algebraic varieties associated with arbitrary sets

Is $k[x,y]/\langle y-x^2\rangle = k[x,x^2]/\langle x^2-x^2\rangle = k[x,x^2] = k[x]$ a valid argument?

Show that $z - xy$ is in the ideal $I = \langle 2x-1, 3y-1, 6z-1 \rangle$ in $\mathbb{Z}[x,y,z]$

Noncommutative rings and prime/maximal ideals

Integral ideals intersected with $\mathbb Z$

Ideal quotients - when does $I:h^2 = I:h$ hold?

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