List questions from noncommutative-algebra

Published on 07 Dec 2020 - 7:23

193

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Is restriction of scalars preserving injective modules equivalent to flatness?

Published on 27 Mar 2026 - 12:03

51

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explicit formula of $(x \frac{\partial}{\partial x})^n f(x)$

Published on 27 Mar 2026 - 7:14

280

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Why does the set of submodules of a module that are direct sums of irreducible submodules have a maximal element?

Published on 23 Feb 2026 - 12:55

66

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Finding generalized inverses in the ring of linear transformations of a finite dimensional vector space V over a division ring

Published on 30 Mar 2026 - 0:05

82

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A simple module isomorphism in Wedderburn theory

Published on 23 Feb 2026 - 12:50

141

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Higher commutators in rings

Published on 26 Mar 2026 - 4:28

160

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Does a finitely generated faithful module over an Artinian ring contain a regular element?

Published on 25 Mar 2026 - 20:08

86

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Hardness of the conjugacy search problem

Published on 30 Mar 2026 - 9:49

116

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Commutativity of a prime ring

Published on 08 Jan 2021 - 8:14

31

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Can I always write group elements $L,R$ as $VA$ and $VA^{-1}$ respectively, for some $V,A$?

Published on 13 Jan 2021 - 13:38

423

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Generalized Nakayama's lemma over a non-commutative ring

Published on 16 Jan 2021 - 10:36

404

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"NONCOMMUTATIVE Algebra with a view towards Algebraic Geometry"?

Published on 27 Mar 2026 - 2:50

34

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Showing that $U(\mathfrak{sl}_2)$ is a coalgebra

Published on 26 Mar 2026 - 9:49

281

Views

Quaternion Algebras and zero divisors

Published on 23 Jan 2021 - 10:50

List Question

Locally nilpotent derivations closed under isomorphism?

Is restriction of scalars preserving injective modules equivalent to flatness?

explicit formula of $(x \frac{\partial}{\partial x})^n f(x)$

Why does the set of submodules of a module that are direct sums of irreducible submodules have a maximal element?

Finding generalized inverses in the ring of linear transformations of a finite dimensional vector space V over a division ring

A simple module isomorphism in Wedderburn theory

Higher commutators in rings

Does a finitely generated faithful module over an Artinian ring contain a regular element?

Hardness of the conjugacy search problem

Commutativity of a prime ring

Can I always write group elements $L,R$ as $VA$ and $VA^{-1}$ respectively, for some $V,A$?

Generalized Nakayama's lemma over a non-commutative ring

"NONCOMMUTATIVE Algebra with a view towards Algebraic Geometry"?

Showing that $U(\mathfrak{sl}_2)$ is a coalgebra

Quaternion Algebras and zero divisors

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