Question

In a left noetherian ring, does having a left inverse for an element guarantee the existence of right inverse for that element?

score 329 · Answer 1 · 2026-05-07 13:38:16

329

Views

In a left noetherian ring, does having a left inverse for an element guarantee the existence of right inverse for that element?

Published on 07 May 2026 - 13:38

score 261 · Answer 2 · 2026-05-05 12:37:59

261

Views

Ring of remainders definition

Published on 05 May 2026 - 12:37

score 257 · Answer 3 · 2026-04-15 07:39:33

257

Views

$[Solved]$ Find all units in the ring $M_2(\mathbb{Z})$

Published on 15 Apr 2026 - 7:39

score 92 · Answer 4 · 2026-04-29 12:48:52

92

Views

$[Solved]$ Write polynomial as a product of irreducible elements

Published on 29 Apr 2026 - 12:48

score 53 · Answer 5 · 2026-04-15 20:30:40

53

Views

For a surjective function $f: A \rightarrow A$, if there exist $n$ such that $\ker f^n = \ker f^{n+1} = \dots$ Is f injective?

Published on 15 Apr 2026 - 20:30

score 1k · Answer 6 · 2026-05-02 18:30:22

1k

Views

Jacobson radical of formal power series over an integral domain

Published on 02 May 2026 - 18:30

score 80 · Answer 7 · 2026-04-15 11:39:17

80

Views

The amount of elements in a quotient ring

Published on 15 Apr 2026 - 11:39

score 581 · Answer 8 · 2026-04-29 12:49:05

581

Views

Identify $\mathbb{Z}[x]/(x^2-3,2x+4)$.

Published on 29 Apr 2026 - 12:49

score 1.5k · Answer 9 · 2026-05-07 12:46:55

1.5k

Views

Prove that the field $k(x)$ of rational functions over $k$ in the variable $x$ is not a finitely generated $k$-algebra.

Published on 07 May 2026 - 12:46

score 108 · Answer 10 · 2026-04-29 12:48:53

Let $R$ be a commutative ring with unit. Show that $\langle a\rangle = \langle b\rangle \iff a$ and $b$ are friends

score 185 · Answer 11 · 2026-05-07 18:00:43

185

Views

Ascending chain of proper submodules in a module all whose proper submodules are Noetherian

Published on 07 May 2026 - 18:00

score 647 · Answer 12 · 2026-04-29 12:49:06

647

Views

$1+i$ is prime in $\mathbb Z[i]$

Published on 29 Apr 2026 - 12:49

score 130 · Answer 13 · 2026-05-04 22:10:32

130

Views

A question on the group algebra

Published on 04 May 2026 - 22:10

score 376 · Answer 14 · 2026-05-05 02:23:12

376

Views

The radical of the algebra $ A = T_n(F)$ is $N$, the set of all strictly upper triangular matrices.

Published on 05 May 2026 - 2:23

score 617 · Answer 15 · 2026-04-20 14:11:43

617

Views

Primary ideals in an Artinial local ring

Published on 20 Apr 2026 - 14:11

List Question

In a left noetherian ring, does having a left inverse for an element guarantee the existence of right inverse for that element?

Ring of remainders definition

$[Solved]$ Find all units in the ring $M_2(\mathbb{Z})$

$[Solved]$ Write polynomial as a product of irreducible elements

For a surjective function $f: A \rightarrow A$, if there exist $n$ such that $\ker f^n = \ker f^{n+1} = \dots$ Is f injective?

Jacobson radical of formal power series over an integral domain

The amount of elements in a quotient ring

Identify $\mathbb{Z}[x]/(x^2-3,2x+4)$.

Prove that the field $k(x)$ of rational functions over $k$ in the variable $x$ is not a finitely generated $k$-algebra.

Let $R$ be a commutative ring with unit. Show that $\langle a\rangle = \langle b\rangle \iff a$ and $b$ are friends

Ascending chain of proper submodules in a module all whose proper submodules are Noetherian

$1+i$ is prime in $\mathbb Z[i]$

A question on the group algebra

The radical of the algebra $ A = T_n(F)$ is $N$, the set of all strictly upper triangular matrices.

Primary ideals in an Artinial local ring

Trending Questions

Popular # Hahtags

Popular Questions