List questions from ring-theory

Published on 25 Mar 2026 - 17:22

481

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Using the first Isomorphism theorem to prove that $S$ is a subring of $M_2(\mathbb{Z})$

Published on 03 Apr 2018 - 19:34

60

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Proof this factor ring is field.

Published on 24 Mar 2026 - 23:42

1.4k

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Show that a Boolean ring is a commutative ring.

Published on 23 Mar 2026 - 5:56

1.2k

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Make an addition and multiplication table for ring $\Bbb{Z}_{12}$ with ideal $\left \{ 0,3,6,9 \right \}$.

Published on 22 Mar 2026 - 21:45

254

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Evaluation map in field extensions. $F$-algebra homomorphism.

Published on 25 Mar 2026 - 10:53

138

Views

Finite extension, linear transformation and minimal polynomial.

Published on 25 Mar 2026 - 10:52

46

Views

Is there an ideal of $(C^0(\mathbb{R}),+,\cdot)$ that isn't prime?

Published on 25 Mar 2026 - 17:21

47

Views

Show that $\mathbb Z_6/([3]) \simeq \mathbb Z_3$

Published on 04 Apr 2018 - 17:47

375

Views

Basis for $R[x]/(f)$ as an $R$-module

Published on 24 Mar 2026 - 23:44

94

Views

Is it possible to show $ \bigcap_{ m\text{ : maximal ideal}} A_m = A$ without using the ideal of denominators?

Published on 05 Apr 2018 - 5:40

17

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Rational fractions on affine algebraic sets

Published on 05 Apr 2018 - 9:28

873

Views

Show that $F(a) = F(a^{2})$ knowing that $F(a)$ has odd degree.

Published on 25 Mar 2026 - 12:27

229

Views

Showing that the augmentation ideal is principal

Published on 25 Mar 2026 - 21:22

54

Views

Example of ring $R$ when $(R,.)$ forms a group

Published on 25 Mar 2026 - 22:09

List Question

Are non-coprime ideals always contained in some prime ideal?

Using the first Isomorphism theorem to prove that $S$ is a subring of $M_2(\mathbb{Z})$

Proof this factor ring is field.

Show that a Boolean ring is a commutative ring.

Make an addition and multiplication table for ring $\Bbb{Z}_{12}$ with ideal $\left \{ 0,3,6,9 \right \}$.

Evaluation map in field extensions. $F$-algebra homomorphism.

Finite extension, linear transformation and minimal polynomial.

Is there an ideal of $(C^0(\mathbb{R}),+,\cdot)$ that isn't prime?

Show that $\mathbb Z_6/([3]) \simeq \mathbb Z_3$

Basis for $R[x]/(f)$ as an $R$-module

Is it possible to show $ \bigcap_{ m\text{ : maximal ideal}} A_m = A$ without using the ideal of denominators?

Rational fractions on affine algebraic sets

Show that $F(a) = F(a^{2})$ knowing that $F(a)$ has odd degree.

Showing that the augmentation ideal is principal

Example of ring $R$ when $(R,.)$ forms a group

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