Question

Equivalent definitions of algebra over a ring

score 174 · Answer 1 · 2015-03-03 03:25:01

174

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Equivalent definitions of algebra over a ring

Published on 03 Mar 2015 - 3:25

score 35 · Answer 2 · 2015-03-08 22:43:10

35

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Let $K$ be a unitary $F$-algebra. Show that if $(v^{−1}−a^{−1})$ has a multiplicative inverse then $(v−a)$ has one too

Published on 08 Mar 2015 - 22:43

score 77 · Answer 3 · 2015-03-10 14:17:35

77

Views

Let $p(X)\in F[X]$ and $W$ a subspace of $F[X]$, show that $p(X)W=W\Rightarrow p(X)$ is a constant polynomial

Published on 10 Mar 2015 - 14:17

score 485 · Answer 4 · 2015-03-21 00:28:08

485

Views

Borel sigma-algebra for compacts

Published on 21 Mar 2015 - 0:28

score 630 · Answer 5 · 2015-03-23 15:59:09

630

Views

Let $F$ be a field, and $a$ a nilpotent element of $M_n(F)$ (the $n \times n$ matrix algebra over $F$). Prove that $a^n = 0$.

Published on 23 Mar 2015 - 15:59

score 363 · Answer 6 · 2015-03-30 22:40:35

363

Views

Algebra book that covers algebras

Published on 30 Mar 2015 - 22:40

score 269 · Answer 7 · 2015-04-26 13:27:19

269

Views

How to show $k$-algebras are isomorphic in practice

Published on 26 Apr 2015 - 13:27

score 128 · Answer 8 · 2015-06-04 02:59:13

128

Views

Tensor product of division rings is Noetherian

Published on 04 Jun 2015 - 2:59

score 274 · Answer 9 · 2015-06-06 21:47:23

274

Views

Example of a finite dimensional algebra over $C$ with a simple module of dimension $2013$

Published on 06 Jun 2015 - 21:47

score 82 · Answer 10 · 2015-06-12 05:47:23

82

Views

If $\mathcal{L}$ is a minimal left ideal of an algebra $\mathcal{A}$, then $\mathcal{A}l=\mathcal{L}$ for all $l\in \mathcal{L}$?

Published on 12 Jun 2015 - 5:47

score 738 · Answer 11 · 2015-07-01 04:20:27

738

Views

Ring homomorphism of tensor product of algebras

Published on 01 Jul 2015 - 4:20

score 239 · Answer 12 · 2015-07-01 23:08:36

239

Views

Basic question on the free algebra

Published on 01 Jul 2015 - 23:08

score 191 · Answer 13 · 2026-03-25 10:52:59

191

Views

Does there exist higher degree graded derivations on $\Omega(M) $

Published on 25 Mar 2026 - 10:52

score 896 · Answer 14 · 2015-07-14 22:27:48

896

Views

Polynomial algebra and polynomial ring

Published on 14 Jul 2015 - 22:27

score 158 · Answer 15 · 2015-07-15 17:26:27

158

Views

Algebra isomorphism $\mathbb{C}\otimes \mathbb{C}\to\mathbb{C}^2$

Published on 15 Jul 2015 - 17:26

List Question

Equivalent definitions of algebra over a ring

Let $K$ be a unitary $F$-algebra. Show that if $(v^{−1}−a^{−1})$ has a multiplicative inverse then $(v−a)$ has one too

Let $p(X)\in F[X]$ and $W$ a subspace of $F[X]$, show that $p(X)W=W\Rightarrow p(X)$ is a constant polynomial

Borel sigma-algebra for compacts

Let $F$ be a field, and $a$ a nilpotent element of $M_n(F)$ (the $n \times n$ matrix algebra over $F$). Prove that $a^n = 0$.

Algebra book that covers algebras

How to show $k$-algebras are isomorphic in practice

Tensor product of division rings is Noetherian

Example of a finite dimensional algebra over $C$ with a simple module of dimension $2013$

If $\mathcal{L}$ is a minimal left ideal of an algebra $\mathcal{A}$, then $\mathcal{A}l=\mathcal{L}$ for all $l\in \mathcal{L}$?

Ring homomorphism of tensor product of algebras

Basic question on the free algebra

Does there exist higher degree graded derivations on $\Omega(M) $

Polynomial algebra and polynomial ring

Algebra isomorphism $\mathbb{C}\otimes \mathbb{C}\to\mathbb{C}^2$

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