Question

Does the statement "the $R$-algebra homomorphisms $A \rightarrow R$ are linearly independent whenever $R$ is a field" admit any generalizations?

score 44 · Answer 1 · 2016-02-23 12:25:22

44

Views

Does the statement "the $R$-algebra homomorphisms $A \rightarrow R$ are linearly independent whenever $R$ is a field" admit any generalizations?

Published on 23 Feb 2016 - 12:25

score 104 · Answer 2 · 2016-02-29 17:54:58

Is an algebra $A$ wild if there exists a representation embedding $\underline{\mathrm{mod}\,B} \rightarrow \mathrm{mod}\,A$, where $B$ is wild?

score 402 · Answer 3 · 2026-02-23 04:53:43

402

Views

Where does Gelfand Theory fail for non-commutative algebras.

Published on 23 Feb 2026 - 4:53

score 124 · Answer 4 · 2016-03-14 19:30:11

124

Views

Preimage of unit in algebra

Published on 14 Mar 2016 - 19:30

score 839 · Answer 5 · 2016-03-27 21:25:11

839

Views

What is an upper bound for the number of sets in a $\sigma$ - algebra generated by $n$ sets?

Published on 27 Mar 2016 - 21:25

score 219 · Answer 6 · 2016-03-28 22:17:58

219

Views

Definition algebra over commutative ring (injectivity needed?)

Published on 28 Mar 2016 - 22:17

score 619 · Answer 7 · 2026-03-25 23:38:29

619

Views

Show that $\Bbb R^{2n+1}$ is not a division algebra over $\Bbb R$ for $n>0$

Published on 25 Mar 2026 - 23:38

score 112 · Answer 8 · 2016-04-27 15:11:04

112

Views

Composition series of a regular module.

Published on 27 Apr 2016 - 15:11

score 193 · Answer 9 · 2016-04-29 10:46:26

193

Views

When is tensor product isomorphic to product?

Published on 29 Apr 2016 - 10:46

score 84 · Answer 10 · 2016-05-13 20:43:13

84

Views

An algebra isomorphism between $\mathbb{C}\otimes\mathbb{C}$ and $\mathbb{C}\oplus\mathbb{C}$

Published on 13 May 2016 - 20:43

score 1.2k · Answer 11 · 2016-05-25 09:04:04

1.2k

Views

Lebesgue-$\sigma$-algebras $\mathfrak L^{p+q}\neq\mathfrak L^p \otimes\mathfrak L^q$

Published on 25 May 2016 - 9:04

score 247 · Answer 12 · 2026-03-25 09:33:53

247

Views

algebras without identity

Published on 25 Mar 2026 - 9:33

score 137 · Answer 13 · 2016-07-01 00:47:22

137

Views

Morphisms of $k$-algebras preserve radicals

Published on 01 Jul 2016 - 0:47

score 21.3k · Answer 14 · 2013-05-03 11:10:11

21.3k

Views

What is the difference between a Ring and an Algebra?

Published on 03 May 2013 - 11:10

score 387 · Answer 15 · 2013-05-05 23:04:00

387

Views

Hall's identity and beyond?

Published on 05 May 2013 - 23:04

List Question

Does the statement "the $R$-algebra homomorphisms $A \rightarrow R$ are linearly independent whenever $R$ is a field" admit any generalizations?

Is an algebra $A$ wild if there exists a representation embedding $\underline{\mathrm{mod}\,B} \rightarrow \mathrm{mod}\,A$, where $B$ is wild?

Where does Gelfand Theory fail for non-commutative algebras.

Preimage of unit in algebra

What is an upper bound for the number of sets in a $\sigma$ - algebra generated by $n$ sets?

Definition algebra over commutative ring (injectivity needed?)

Show that $\Bbb R^{2n+1}$ is not a division algebra over $\Bbb R$ for $n>0$

Composition series of a regular module.

When is tensor product isomorphic to product?

An algebra isomorphism between $\mathbb{C}\otimes\mathbb{C}$ and $\mathbb{C}\oplus\mathbb{C}$

Lebesgue-$\sigma$-algebras $\mathfrak L^{p+q}\neq\mathfrak L^p \otimes\mathfrak L^q$

algebras without identity

Morphisms of $k$-algebras preserve radicals

What is the difference between a Ring and an Algebra?

Hall's identity and beyond?

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