List questions from noncommutative-algebra

Published on 05 Jul 2014 - 21:02

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Global dimension of translation algebra

Published on 27 Mar 2026 - 4:41

179

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Hochschild cohomology of skew polynomial rings

Published on 23 Feb 2026 - 9:08

216

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$z\in\mathfrak R$ iff for every $a\in A$ there is $w$ for which $z+w=zaw=waz$.

Published on 16 Jul 2014 - 3:08

94

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Identities involving adjoint action

Published on 27 Mar 2026 - 14:57

139

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If $Rx$ is nil then $Rxr$ is nil for any $r \in R$

Published on 19 Jul 2014 - 18:37

212

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A doubt about lower nil radical while proving 2-primality of ring.( Baer-McCoy Radical)

Published on 25 Mar 2026 - 17:53

64

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$\mathfrak{u} \cdot R =R$ for every left ideal $\mathfrak{u}$ in a simple ring $R$

Published on 21 Jul 2014 - 1:42

140

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Simple Cogenerator for the category of left $R$-modules

Published on 21 Jul 2014 - 13:38

118

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A condition of equivalence of flatness and projectiveness

Published on 27 Mar 2026 - 15:18

85

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A Direct Sum of Members of a Certain Class of Modules

Published on 24 Jul 2014 - 6:17

1.4k

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BCH (Baker-Campbell-Hausdorff) formula for $[X,Y]=xY-yX$

Published on 28 Mar 2026 - 8:51

236

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Show that $D \cong {\rm End}_A(D^n)$ where $D$ is a division algebra and $A\cong M_n(D)$

Published on 25 Mar 2026 - 9:43

238

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Example of ring $R$ with ideals $I\neq J$ such that $R/I \cong R/J$ as modules

Published on 25 Jul 2014 - 16:25

322

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Why is there no $[X,[X,[X,Y]]]$ and $[Y,[Y,[X,Y]]]$ in the fourth order term of BCH formula?

Published on 26 Jul 2014 - 6:15

List Question

idempotents acting as local identities

Global dimension of translation algebra

Hochschild cohomology of skew polynomial rings

$z\in\mathfrak R$ iff for every $a\in A$ there is $w$ for which $z+w=zaw=waz$.

Identities involving adjoint action

If $Rx$ is nil then $Rxr$ is nil for any $r \in R$

A doubt about lower nil radical while proving 2-primality of ring.( Baer-McCoy Radical)

$\mathfrak{u} \cdot R =R$ for every left ideal $\mathfrak{u}$ in a simple ring $R$

Simple Cogenerator for the category of left $R$-modules

A condition of equivalence of flatness and projectiveness

A Direct Sum of Members of a Certain Class of Modules

BCH (Baker-Campbell-Hausdorff) formula for $[X,Y]=xY-yX$

Show that $D \cong {\rm End}_A(D^n)$ where $D$ is a division algebra and $A\cong M_n(D)$

Example of ring $R$ with ideals $I\neq J$ such that $R/I \cong R/J$ as modules

Why is there no $[X,[X,[X,Y]]]$ and $[Y,[Y,[X,Y]]]$ in the fourth order term of BCH formula?

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