List questions from ring-theory

Published on 12 Apr 2026 - 16:18

1k

Views

Prove $-1$ and $1$ are the only units in $\mathbb{Z}$

Published on 14 Apr 2026 - 4:35

425

Views

Socle of submodule relative to the module

Published on 09 Apr 2026 - 8:06

2.6k

Views

Prove that any subfield of $\Bbb R$ contains $\Bbb Q$

Published on 16 Apr 2026 - 16:02

1.4k

Views

Ideal of direct sum of rings

Published on 10 Apr 2026 - 14:56

73

Views

Global dimension of the center

Published on 30 Apr 2026 - 9:56

563

Views

Trace of nilpotent matrix over a ring

Published on 10 Apr 2026 - 11:27

409

Views

algebra of polynomials of non-commuting variables

Published on 14 Apr 2026 - 17:54

316

Views

Explain to me the difference between the notation $\mathbb{Q}( \sqrt2) $and$ \mathbb{Q}[ \sqrt2]$

Published on 16 Apr 2026 - 14:18

91

Views

Questions on the field extension $K = \mathbb{Q}[x]/\langle x^2 − 5\rangle$

Published on 21 Apr 2026 - 11:12

933

Views

Proof that set of units of a ring is a multiplicative group

Published on 11 Apr 2026 - 13:07

699

Views

In ring theory, what does $R^{2} \neq \{0\}$ mean?

Published on 13 Apr 2026 - 2:15

191

Views

Show that $\mathbb{Q}( \sqrt2) \neq \mathbb{Q}( \sqrt3)$

Published on 21 Apr 2026 - 11:51

9.3k

Views

Prove every prime ideal of a ring is a radical ideal.

Published on 14 Apr 2026 - 6:33

95

Views

Prove $\text{rad}(I)/I$ is isomorphic to $\mathfrak{N}(R/I)$

Published on 14 Apr 2026 - 22:49

List Question

Homomorphisms of semi-simple submodules

Prove $-1$ and $1$ are the only units in $\mathbb{Z}$

Socle of submodule relative to the module

Prove that any subfield of $\Bbb R$ contains $\Bbb Q$

Ideal of direct sum of rings

Global dimension of the center

Trace of nilpotent matrix over a ring

algebra of polynomials of non-commuting variables

Explain to me the difference between the notation $\mathbb{Q}( \sqrt2) $and$ \mathbb{Q}[ \sqrt2]$

Questions on the field extension $K = \mathbb{Q}[x]/\langle x^2 − 5\rangle$

Proof that set of units of a ring is a multiplicative group

In ring theory, what does $R^{2} \neq \{0\}$ mean?

Show that $\mathbb{Q}( \sqrt2) \neq \mathbb{Q}( \sqrt3)$

Prove every prime ideal of a ring is a radical ideal.

Prove $\text{rad}(I)/I$ is isomorphic to $\mathfrak{N}(R/I)$

Trending Questions

Popular # Hahtags

Popular Questions