List questions from noncommutative-algebra

Published on 19 Aug 2015 - 5:01

60

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Show that $([A,A])$ contains the identity matrix.

Published on 20 Aug 2015 - 1:26

83

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If $[A,A]A[\lambda,A] = 0$ then $\lambda \in Z(A).$

Published on 24 Aug 2015 - 17:52

213

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How many degree m elements in the exterior algebra on n generators over a finite field, vanish when raised to the r-th power?

Published on 25 Mar 2026 - 21:54

154

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Which of the algebra isomorphisms hold?

Published on 25 Aug 2015 - 18:10

339

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Bochner-style theorem for SO(3)

Published on 25 Aug 2015 - 21:24

198

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A Problem for Nil-Ideals

Published on 27 Aug 2015 - 11:04

35

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Associativity of ore-polynomials

Published on 26 Mar 2026 - 4:31

204

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What do we call collections of subsets of a monoid that satisfy these axioms?

Published on 27 Mar 2026 - 5:41

777

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Injective hull of a simple module

Published on 31 Aug 2015 - 8:21

69

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What do we call the ring homomorphism $R \rightarrow \mathrm{End}_{\mathbf{Ab}}(X)$ associated with an $R$-module $X$?

Published on 01 Sep 2015 - 7:49

58

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Flatness via factoring homomorphisms

Published on 26 Mar 2026 - 20:38

26

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Prove that to $t \in A \setminus \mathbb{F}$, i.e., $t$ is not a constant polynomial, then $t$ is not algebraic.

Published on 09 Sep 2015 - 19:39

160

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If $A$ is a simple unital ring then the ring $\operatorname{End}({}_{M(A)}A)$ is isomorphic to $Z(A)$, the center of $A$.

Published on 10 Sep 2015 - 13:33

65

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Isomorphism of Submodules extends to Automorphism

Published on 14 Sep 2015 - 12:25

List Question

Adjoining an identity to a ring

Show that $([A,A])$ contains the identity matrix.

If $[A,A]A[\lambda,A] = 0$ then $\lambda \in Z(A).$

How many degree m elements in the exterior algebra on n generators over a finite field, vanish when raised to the r-th power?

Which of the algebra isomorphisms hold?

Bochner-style theorem for SO(3)

A Problem for Nil-Ideals

Associativity of ore-polynomials

What do we call collections of subsets of a monoid that satisfy these axioms?

Injective hull of a simple module

What do we call the ring homomorphism $R \rightarrow \mathrm{End}_{\mathbf{Ab}}(X)$ associated with an $R$-module $X$?

Flatness via factoring homomorphisms

Prove that to $t \in A \setminus \mathbb{F}$, i.e., $t$ is not a constant polynomial, then $t$ is not algebraic.

If $A$ is a simple unital ring then the ring $\operatorname{End}({}_{M(A)}A)$ is isomorphic to $Z(A)$, the center of $A$.

Isomorphism of Submodules extends to Automorphism

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