List questions from ring-theory

Published on 16 Jun 2019 - 12:14

271

Views

Inverse of a finitely generated ideal in UFD

Published on 25 Mar 2026 - 10:55

544

Views

Idempotent elements in a modulo n ring

Published on 25 Mar 2026 - 20:07

64

Views

Lemma for Chinese Remainder Theorem

Published on 25 Mar 2026 - 18:46

139

Views

Let $R$ be a commutative ring and $a_1, \dots, a_n$ elements of $R$. Prove that $\frac{R[x_1, \dots, x_n]}{(x_1-a_1, \dots, x_n-a_n)} \cong R.$

Published on 26 Mar 2026 - 2:57

31

Views

Gcd(f,g)=1 can we express the entire ring of polynomials using f and g?

Published on 18 Jun 2019 - 8:41

47

Views

Are these rings a field?

Published on 07 Apr 2026 - 18:31

113

Views

Structure of finite pretty ring

Published on 18 Jun 2019 - 9:23

166

Views

If $f(x)$ is irreducible over $\mathbb{Z}$ then prove that $\langle f(x) \rangle$ is not maximal ideal

Published on 18 Jun 2019 - 18:01

320

Views

What does 'every monomorphism in $R$-$\mathsf{Mod}$ is a kernel' mean?

Published on 02 Apr 2026 - 23:17

108

Views

Any maximal ideal intersect its proper subring

Published on 18 Jun 2019 - 20:26

352

Views

Prove that there is a natural bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.

Published on 02 Apr 2026 - 23:21

111

Views

Irreducible polynomial over $\Bbb Q$

Published on 27 Mar 2026 - 8:40

133

Views

A question about group ring of a group over matrix ring!

Published on 25 Mar 2026 - 6:02

148

Views

Commutative Diagrams in R-algebra

Published on 02 Apr 2026 - 23:18

List Question

Characterization of pretty rings

Inverse of a finitely generated ideal in UFD

Idempotent elements in a modulo n ring

Lemma for Chinese Remainder Theorem

Let $R$ be a commutative ring and $a_1, \dots, a_n$ elements of $R$. Prove that $\frac{R[x_1, \dots, x_n]}{(x_1-a_1, \dots, x_n-a_n)} \cong R.$

Gcd(f,g)=1 can we express the entire ring of polynomials using f and g?

Are these rings a field?

Structure of finite pretty ring

If $f(x)$ is irreducible over $\mathbb{Z}$ then prove that $\langle f(x) \rangle$ is not maximal ideal

What does 'every monomorphism in $R$-$\mathsf{Mod}$ is a kernel' mean?

Any maximal ideal intersect its proper subring

Prove that there is a natural bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.

Irreducible polynomial over $\Bbb Q$

A question about group ring of a group over matrix ring!

Commutative Diagrams in R-algebra

Trending Questions

Popular # Hahtags

Popular Questions