List questions from commutative-algebra

Published on 25 Mar 2026 - 3:07

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Matrix Ring of semisimple algebra over $\mathbb{C}$

Published on 22 Mar 2026 - 18:56

103

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Computing the kernel of a morphism whose domain and codomain are polynomial algebras

Published on 30 Mar 2026 - 20:40

82

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

Published on 29 Mar 2026 - 4:41

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

199

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Reference for Kaplansky's proof that in $\mathbb{C}[G]$, $ab=1$ implies $ba=1$

Published on 25 Mar 2026 - 3:00

43

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Clarification on statement of a decomposition for graded ring

Published on 07 Aug 2018 - 0:06

200

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check that a module over polynomial ring is free

Published on 25 Mar 2026 - 1:34

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How to prove a specific quotient of polynomial ring is a free module?

Published on 25 Mar 2026 - 1:37

195

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Is $\Bbb Z[x]/(x^3-1)$ a principal ideal ring?

Published on 08 Aug 2018 - 8:54

208

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How to dram Hasse Diagram in a lattice theory

Published on 25 Mar 2026 - 7:48

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

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

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Splitting of Algebra Acting on a Module?

Published on 28 Mar 2026 - 6:07

675

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Over a commutative unital ring, does $\det A = 0$ imply that $A\mathbf{x} = 0$ has a non-zero solution?

Published on 28 Mar 2026 - 0:35

List Question

Rings of formal power series is finitely generated as module.

Matrix Ring of semisimple algebra over $\mathbb{C}$

Computing the kernel of a morphism whose domain and codomain are polynomial algebras

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

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

Reference for Kaplansky's proof that in $\mathbb{C}[G]$, $ab=1$ implies $ba=1$

Clarification on statement of a decomposition for graded ring

check that a module over polynomial ring is free

How to prove a specific quotient of polynomial ring is a free module?

Is $\Bbb Z[x]/(x^3-1)$ a principal ideal ring?

How to dram Hasse Diagram in a lattice theory

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

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

Splitting of Algebra Acting on a Module?

Over a commutative unital ring, does $\det A = 0$ imply that $A\mathbf{x} = 0$ has a non-zero solution?

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