Question

example of noncommutative rings $A$ such that $A^2 \cong A$ as left $A$-modules

score 139 · Answer 1 · 2019-07-26 02:58:05

139

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example of noncommutative rings $A$ such that $A^2 \cong A$ as left $A$-modules

Published on 26 Jul 2019 - 2:58

score 193 · Answer 2 · 2026-03-19 07:30:48

193

Views

What do we call the inverse of a right-multiplication when it's the left-multiplication of the inverse element?

Published on 19 Mar 2026 - 7:30

score 868 · Answer 3 · 2019-07-28 21:42:39

868

Views

Spectral Decomposition exponential with Pauli matrices

Published on 28 Jul 2019 - 21:42

score 419 · Answer 4 · 2026-03-25 13:33:23

419

Views

Noncommutative rings, matrices and homomorphisms of free modules

Published on 25 Mar 2026 - 13:33

score 143 · Answer 5 · 2019-07-31 14:22:00

143

Views

Module is $\mathbb{F}_2[S_3]$-projective iff it's $\mathbb{F}_2[S_2]$-projective.

Published on 31 Jul 2019 - 14:22

score 197 · Answer 6 · 2019-08-09 14:59:59

197

Views

Commutativity of endomorphism rings of direct sums

Published on 09 Aug 2019 - 14:59

score 225 · Answer 7 · 2019-08-18 21:01:03

225

Views

Shape of possible counterexamples to the Jacobian Conjecture

Published on 18 Aug 2019 - 21:01

score 487 · Answer 8 · 2026-03-25 13:34:22

487

Views

Clarification: If $R$ is a ring, then $R^n\cong R^m$ as left $R$-modules if and only if they are also isomorphic as right $R$-modules.

Published on 25 Mar 2026 - 13:34

score 365 · Answer 9 · 2026-03-25 16:07:25

365

Views

Explicit 4-term commutator $[A,B,C,D]$

Published on 25 Mar 2026 - 16:07

score 195 · Answer 10 · 2026-02-23 02:15:29

195

Views

If R is a semisimple ring, then every simple R-module is isomorphic to a simple constituent of R

Published on 23 Feb 2026 - 2:15

score 122 · Answer 11 · 2019-09-12 18:42:57

Prove that if $0$ and $M$ are the only submodules of $M$ stabilized by every endomorphism of $M$ then $M$ is semisimple and homogeneous.

score 1.7k · Answer 12 · 2019-09-23 00:11:08

1.7k

Views

Examples of non-abelian groups under addition

Published on 23 Sep 2019 - 0:11

score 107 · Answer 13 · 2019-09-23 17:02:08

107

Views

If $u,v$ and $auvb$ are units, then is $ba$ a unit?

Published on 23 Sep 2019 - 17:02

score 226 · Answer 14 · 2019-09-24 13:46:31

226

Views

Is there a subring of $M_2(\mathbb{R})$ ring-isomorphic to $\mathbb{H}?$

Published on 24 Sep 2019 - 13:46

score 3.9k · Answer 15 · 2019-09-26 20:38:47

3.9k

Views

Taylor expansion of a matrix exponential

Published on 26 Sep 2019 - 20:38

List Question

example of noncommutative rings $A$ such that $A^2 \cong A$ as left $A$-modules

What do we call the inverse of a right-multiplication when it's the left-multiplication of the inverse element?

Spectral Decomposition exponential with Pauli matrices

Noncommutative rings, matrices and homomorphisms of free modules

Module is $\mathbb{F}_2[S_3]$-projective iff it's $\mathbb{F}_2[S_2]$-projective.

Commutativity of endomorphism rings of direct sums

Shape of possible counterexamples to the Jacobian Conjecture

Clarification: If $R$ is a ring, then $R^n\cong R^m$ as left $R$-modules if and only if they are also isomorphic as right $R$-modules.

Explicit 4-term commutator $[A,B,C,D]$

If R is a semisimple ring, then every simple R-module is isomorphic to a simple constituent of R

Prove that if $0$ and $M$ are the only submodules of $M$ stabilized by every endomorphism of $M$ then $M$ is semisimple and homogeneous.

Examples of non-abelian groups under addition

If $u,v$ and $auvb$ are units, then is $ba$ a unit?

Is there a subring of $M_2(\mathbb{R})$ ring-isomorphic to $\mathbb{H}?$

Taylor expansion of a matrix exponential

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