List questions from ring-theory

Published on 12 Apr 2026 - 15:41

335

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Connection between field of fractions and smallest field $F$ containing $\alpha$

Published on 17 Apr 2026 - 15:55

868

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Using the First Isomorphism to show $R[x]/((x-a)^2)$ is isomorphic to $R[x]/(x^2)$

Published on 15 Apr 2026 - 8:54

986

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Places of an algebraic number field

Published on 26 Mar 2026 - 14:20

105

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Etaleness & discriminant ideal

Published on 12 Apr 2026 - 5:21

46

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If $I$ is an Ideal of $R$ (a ring) and $a$, $a'\in R$ why is the following true? $a + I = a' + I \iff a - a' \in I$

Published on 12 Apr 2026 - 9:53

65

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Is the following proof correct?-Finite Ring Theory

Published on 13 Apr 2026 - 6:32

61

Views

Let $N\subset P \subset M$ be $R$-modules and $M'\subset M$ another $R$-module. If $N+M' = P + M'$ and $N\cap M' = P \cap M' $ then $N=P$.

Published on 18 Apr 2026 - 4:29

45

Views

Product of classes of associates in a commutative ring/rng

Published on 10 May 2026 - 17:00

80

Views

Finding the Integral domain

Published on 11 Apr 2026 - 3:11

72

Views

in how many ways can a field fit inside a ring?

Published on 26 Apr 2026 - 0:41

121

Views

Is it true that $R[x]+R[y]=R$ where $R=\mathbb Z_n$?

Published on 13 Apr 2026 - 2:27

102

Views

The endomorphism ring of a uniserial module over a right Noetherian ring or a commutative ring is local

Published on 25 Mar 2026 - 11:02

29

Views

Is $R/J^2$ right finitely generated?

Published on 09 Apr 2026 - 8:05

34

Views

Why $x\in r(b)$ implies that $Mx\subseteq \text{Ann}^{M}(b)$?

Published on 16 Apr 2026 - 1:01

List Question

The semi artinianity of a module is preserved under module morphism.

Connection between field of fractions and smallest field $F$ containing $\alpha$

Using the First Isomorphism to show $R[x]/((x-a)^2)$ is isomorphic to $R[x]/(x^2)$

Places of an algebraic number field

Etaleness & discriminant ideal

If $I$ is an Ideal of $R$ (a ring) and $a$, $a'\in R$ why is the following true? $a + I = a' + I \iff a - a' \in I$

Is the following proof correct?-Finite Ring Theory

Let $N\subset P \subset M$ be $R$-modules and $M'\subset M$ another $R$-module. If $N+M' = P + M'$ and $N\cap M' = P \cap M' $ then $N=P$.

Product of classes of associates in a commutative ring/rng

Finding the Integral domain

in how many ways can a field fit inside a ring?

Is it true that $R[x]+R[y]=R$ where $R=\mathbb Z_n$?

The endomorphism ring of a uniserial module over a right Noetherian ring or a commutative ring is local

Is $R/J^2$ right finitely generated?

Why $x\in r(b)$ implies that $Mx\subseteq \text{Ann}^{M}(b)$?

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