List questions from ring-theory

Published on 28 Mar 2026 - 15:19

59

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Notion of 2-sided artinian ring?

Published on 25 Mar 2026 - 12:24

53

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Show $A_{f(b)} \cong A \otimes _B B_g $

Published on 26 Dec 2018 - 23:50

101

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Relation between simple roots and idempotents of quotient ring

Published on 25 Mar 2026 - 17:25

239

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Finding the right ideals of $M_{n\times n}(\mathbb{F})$ (matrices over a field $\mathbb{F}$)

Published on 27 Dec 2018 - 17:46

292

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Unramified Extensions of Discrete Valuation Rings

Published on 28 Dec 2018 - 4:47

63

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Show that $dim_C(m^n/m^{n+1}) = n+1$

Published on 28 Mar 2026 - 15:26

892

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How can I factor the polynomial $x^8+x^4+x^3+x^2+x+1$ over $F_2$

Published on 27 Mar 2026 - 19:43

164

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How to recognise an algebra form a ring?

Published on 25 Mar 2026 - 10:52

180

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Does there exist a $1-1$ ring homomorphism from $M_d(\mathbb{F})$ to $M_n(\mathbb{F})$ for $d <n$?

Published on 29 Dec 2018 - 7:58

64

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Justification for $f_ig_j \equiv 0$ in $U \cup V = \mathbb C^n$ for varieties $U$ and $V$.

Published on 29 Dec 2018 - 9:00

274

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Maximum number of linearly independent elements in a module

Published on 30 Mar 2026 - 11:57

260

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$M_n(F)$ contains an isomorphic copy of every extension of $F$ of degree $d \leq n.$

Published on 29 Dec 2018 - 10:40

389

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Determine the maximal ideals of $\mathbb R^2$ by determining all its ideals.

Published on 28 Mar 2026 - 15:26

64

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Onto Algebra homomorphism between group rings.

Published on 25 Mar 2026 - 3:00

List Question

Concerning the evaluation map

Notion of 2-sided artinian ring?

Show $A_{f(b)} \cong A \otimes _B B_g $

Relation between simple roots and idempotents of quotient ring

Finding the right ideals of $M_{n\times n}(\mathbb{F})$ (matrices over a field $\mathbb{F}$)

Unramified Extensions of Discrete Valuation Rings

Show that $dim_C(m^n/m^{n+1}) = n+1$

How can I factor the polynomial $x^8+x^4+x^3+x^2+x+1$ over $F_2$

How to recognise an algebra form a ring?

Does there exist a $1-1$ ring homomorphism from $M_d(\mathbb{F})$ to $M_n(\mathbb{F})$ for $d <n$?

Justification for $f_ig_j \equiv 0$ in $U \cup V = \mathbb C^n$ for varieties $U$ and $V$.

Maximum number of linearly independent elements in a module

$M_n(F)$ contains an isomorphic copy of every extension of $F$ of degree $d \leq n.$

Determine the maximal ideals of $\mathbb R^2$ by determining all its ideals.

Onto Algebra homomorphism between group rings.

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