Question

Proving that the Jacobson radical of a (not necessarily unital) ring is contained in the intersection of all left modular ideals.

score 209 · Answer 1 · 2026-04-13 19:20:42

209

Views

Proving that the Jacobson radical of a (not necessarily unital) ring is contained in the intersection of all left modular ideals.

Published on 13 Apr 2026 - 19:20

score 44 · Answer 2 · 2026-04-07 19:47:18

44

Views

Connection between properties of a ring and its quotient rings

Published on 07 Apr 2026 - 19:47

score 212 · Answer 3 · 2026-04-09 23:50:37

212

Views

Conceptual explanation for the identity of Hochschild about derivations

Published on 09 Apr 2026 - 23:50

score 685 · Answer 4 · 2026-04-11 20:39:25

685

Views

Representation of an algebra is absolutely irreducible if and only the representation map is surjective

Published on 11 Apr 2026 - 20:39

score 318 · Answer 5 · 2026-04-16 10:37:14

318

Views

If $ab - ba = c, bc - cb = a, ca - ac = b$ in a ring, prove that $a^2 + b^2 + c^2$ commutes with $a, b$ and $c$.

Published on 16 Apr 2026 - 10:37

score 274 · Answer 6 · 2026-04-17 03:17:37

274

Views

If $(e^{\alpha(t)})'=\alpha'(t)e^{\alpha(t)}$ then $\alpha(t), \alpha'(t)$ commute?

Published on 17 Apr 2026 - 3:17

score 130 · Answer 7 · 2026-04-16 17:34:58

130

Views

The sum of two non-units of a ring $R$ is a non-unit implies that the Jacobson radical is maximal.

Published on 16 Apr 2026 - 17:34

score 127 · Answer 8 · 2026-04-10 04:24:48

127

Views

Is $\mathbb Z_3+\mathbb Z_3\mathbf i+\mathbb Z_3\mathbf j+\mathbb Z_3\mathbf k$ a local ring?

Published on 10 Apr 2026 - 4:24

score 60 · Answer 9 · 2026-05-10 15:08:13

60

Views

non commuative division ring with a discrete valuation

Published on 10 May 2026 - 15:08

score 61 · Answer 10 · 2026-04-14 07:28:18

61

Views

Notion of 2-sided artinian ring?

Published on 14 Apr 2026 - 7:28

score 90 · Answer 11 · 2026-04-14 03:42:14

90

Views

System of homogen linear equations in a division ring

Published on 14 Apr 2026 - 3:42

score 153 · Answer 12 · 2026-04-10 15:40:42

153

Views

Under what assumptions on the grading is the fundamental theorem of twisting morphisms true?

Published on 10 Apr 2026 - 15:40

score 720 · Answer 13 · 2026-04-09 06:04:26

720

Views

For an Artinian ring semiprimitive implies semisimple.

Published on 09 Apr 2026 - 6:04

score 2.8k · Answer 14 · 2026-04-14 04:48:35

2.8k

Views

Is there math with non-commutative multiplication of real numbers?

Published on 14 Apr 2026 - 4:48

score 232 · Answer 15 · 2026-05-10 14:58:06

232

Views

Group rings decomposition

Published on 10 May 2026 - 14:58

List Question

Proving that the Jacobson radical of a (not necessarily unital) ring is contained in the intersection of all left modular ideals.

Connection between properties of a ring and its quotient rings

Conceptual explanation for the identity of Hochschild about derivations

Representation of an algebra is absolutely irreducible if and only the representation map is surjective

If $ab - ba = c, bc - cb = a, ca - ac = b$ in a ring, prove that $a^2 + b^2 + c^2$ commutes with $a, b$ and $c$.

If $(e^{\alpha(t)})'=\alpha'(t)e^{\alpha(t)}$ then $\alpha(t), \alpha'(t)$ commute?

The sum of two non-units of a ring $R$ is a non-unit implies that the Jacobson radical is maximal.

Is $\mathbb Z_3+\mathbb Z_3\mathbf i+\mathbb Z_3\mathbf j+\mathbb Z_3\mathbf k$ a local ring?

non commuative division ring with a discrete valuation

Notion of 2-sided artinian ring?

System of homogen linear equations in a division ring

Under what assumptions on the grading is the fundamental theorem of twisting morphisms true?

For an Artinian ring semiprimitive implies semisimple.

Is there math with non-commutative multiplication of real numbers?

Group rings decomposition

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