Question

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

score 485 · Answer 1 · 2018-04-05 23:05:49

485

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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 05 Apr 2018 - 23:05

score 27 · Answer 2 · 2026-03-21 19:30:43

27

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Lifting of $n$-potents

Published on 21 Mar 2026 - 19:30

score 389 · Answer 3 · 2026-03-19 22:24:01

389

Views

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

Published on 19 Mar 2026 - 22:24

score 76 · Answer 4 · 2026-03-22 06:34:03

76

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Sum of two minimal direct summands

Published on 22 Mar 2026 - 6:34

score 42 · Answer 5 · 2018-04-09 19:03:04

42

Views

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

Published on 09 Apr 2018 - 19:03

score 53 · Answer 6 · 2018-04-10 13:47:13

53

Views

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

Published on 10 Apr 2018 - 13:47

score 1.1k · Answer 7 · 2026-03-22 20:37:27

1.1k

Views

Endomorphism ring of infinite dimensions vector space

Published on 22 Mar 2026 - 20:37

score 217 · Answer 8 · 2026-03-24 23:45:55

217

Views

About the set of pure Quaternion

Published on 24 Mar 2026 - 23:45

score 164 · Answer 9 · 2026-03-24 23:43:05

164

Views

About isomorphism between quaternion algebras

Published on 24 Mar 2026 - 23:43

score 464 · Answer 10 · 2026-03-24 23:46:04

464

Views

About commutator operator of the Quaternion algebra

Published on 24 Mar 2026 - 23:46

score 40 · Answer 11 · 2018-04-19 04:43:54

40

Views

Isomorphism between submodules as one-sided ideals

Published on 19 Apr 2018 - 4:43

score 91 · Answer 12 · 2018-05-04 14:30:16

91

Views

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

Published on 04 May 2018 - 14:30

score 123 · Answer 13 · 2018-05-04 20:35:42

123

Views

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

Published on 04 May 2018 - 20:35

score 617 · Answer 14 · 2018-05-05 12:15:30

617

Views

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

Published on 05 May 2018 - 12:15

score 71 · Answer 15 · 2026-03-24 20:30:44

71

Views

Differential operators and rules for Ore polynomials

Published on 24 Mar 2026 - 20:30

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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