Question

Apply Lam's theorem to determine all the left ideals of $\begin{pmatrix}\mathbb{Q}&\mathbb{R}\\0&\mathbb{R}\end{pmatrix}$

score 488 · Answer 1 · 2026-04-14 06:27:29

488

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Apply Lam's theorem to determine all the left ideals of $\begin{pmatrix}\mathbb{Q}&\mathbb{R}\\0&\mathbb{R}\end{pmatrix}$

Published on 14 Apr 2026 - 6:27

score 31 · Answer 2 · 2026-04-14 13:58:43

31

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Lifting of $n$-potents

Published on 14 Apr 2026 - 13:58

score 395 · Answer 3 · 2026-05-01 08:37:37

395

Views

Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra

Published on 01 May 2026 - 8:37

score 79 · Answer 4 · 2026-04-14 10:41:01

79

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Sum of two minimal direct summands

Published on 14 Apr 2026 - 10:41

score 45 · Answer 5 · 2026-04-16 04:52:57

45

Views

Give an example of a non-commutative algebra $D$ such that $\dim_{\mathbb{Q}} (D) = |\mathbb{R}|$

Published on 16 Apr 2026 - 4:52

score 56 · Answer 6 · 2026-04-16 13:56:40

56

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Idempotents: $e$ a primitive and $f$ an arbitrary idempotent, then $\dim eA\mid\dim\ fA$?

Published on 16 Apr 2026 - 13:56

score 1.1k · Answer 7 · 2026-04-15 17:44:18

1.1k

Views

Endomorphism ring of infinite dimensions vector space

Published on 15 Apr 2026 - 17:44

score 220 · Answer 8 · 2026-04-10 22:51:44

220

Views

About the set of pure Quaternion

Published on 10 Apr 2026 - 22:51

score 166 · Answer 9 · 2026-04-10 21:39:08

166

Views

About isomorphism between quaternion algebras

Published on 10 Apr 2026 - 21:39

score 466 · Answer 10 · 2026-04-10 18:15:53

466

Views

About commutator operator of the Quaternion algebra

Published on 10 Apr 2026 - 18:15

score 43 · Answer 11 · 2026-04-12 23:55:18

43

Views

Isomorphism between submodules as one-sided ideals

Published on 12 Apr 2026 - 23:55

score 95 · Answer 12 · 2026-04-16 23:02:47

95

Views

Tensor product of $K$-skew fields is nilpotent iff every $D_{i}$ is nilpotent?

Published on 16 Apr 2026 - 23:02

score 126 · Answer 13 · 2026-04-14 17:56:33

126

Views

Any matrix ring $R_k$ is isomorphic to a subring of the ring $R_{2^k}$

Published on 14 Apr 2026 - 17:56

score 620 · Answer 14 · 2026-04-16 02:33:10

620

Views

Any $R$-module is a quotient of some free module. Do we need "finitely generated" condition?

Published on 16 Apr 2026 - 2:33

score 77 · Answer 15 · 2026-05-10 11:19:07

77

Views

Differential operators and rules for Ore polynomials

Published on 10 May 2026 - 11:19

List Question

Apply Lam's theorem to determine all the left ideals of $\begin{pmatrix}\mathbb{Q}&\mathbb{R}\\0&\mathbb{R}\end{pmatrix}$

Lifting of $n$-potents

Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra

Sum of two minimal direct summands

Give an example of a non-commutative algebra $D$ such that $\dim_{\mathbb{Q}} (D) = |\mathbb{R}|$

Idempotents: $e$ a primitive and $f$ an arbitrary idempotent, then $\dim eA\mid\dim\ fA$?

Endomorphism ring of infinite dimensions vector space

About the set of pure Quaternion

About isomorphism between quaternion algebras

About commutator operator of the Quaternion algebra

Isomorphism between submodules as one-sided ideals

Tensor product of $K$-skew fields is nilpotent iff every $D_{i}$ is nilpotent?

Any matrix ring $R_k$ is isomorphic to a subring of the ring $R_{2^k}$

Any $R$-module is a quotient of some free module. Do we need "finitely generated" condition?

Differential operators and rules for Ore polynomials

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