List questions from noncommutative-algebra

Published on 22 Mar 2026 - 17:54

1k

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Definition of socle of a module

Published on 21 Mar 2026 - 23:46

159

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Determining the structure of a finite ring

Published on 09 Aug 2018 - 0:11

589

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Is it true to say that : Every submodule of a module M contains in a maximal submodule?

Published on 09 Aug 2018 - 10:02

54

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Computing the left annihilator $\text{Ann}_R(1_R-a)$ of a ring $R$.

Published on 09 Aug 2018 - 11:28

238

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Noncommutative rings and prime/maximal ideals

Published on 13 Aug 2018 - 14:18

275

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Associative, non-commutative, non-trivial, analytic binary operation

Published on 24 Mar 2026 - 23:42

367

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Is the $\mathbb{Z}$-grading of a Clifford algebra basis independent?

Published on 25 Mar 2026 - 4:40

300

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Find the Jacobson radical of a matrix ring

Published on 30 Aug 2018 - 1:44

270

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Question on proof that matrix algebra over given algebra is semisimple iff original algebra is semisimple

Published on 23 Feb 2026 - 0:28

218

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On the radical of a certain ideal of sixteen variable polynomial ring, generated by the entries of certain matrices

Published on 02 Sep 2018 - 20:14

69

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Complement of a maximal direct factor is indecomposable

Published on 27 Feb 2026 - 16:16

52

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Every algebra could be decomposed into a part with unit, and without a unit. Question on uniqueness proof.

Published on 04 Sep 2018 - 11:42

215

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Direct sum of Matrix algebras is not isomorphic to some semigroup algebra

Published on 25 Mar 2026 - 1:17

75

Views

Direct sum of reals and quaternions is not a semigroup algebra for some semigroup

Published on 24 Mar 2026 - 23:48

List Question

Semisimple subalgebras of $M_4(\mathbb{C})$

Definition of socle of a module

Determining the structure of a finite ring

Is it true to say that : Every submodule of a module M contains in a maximal submodule?

Computing the left annihilator $\text{Ann}_R(1_R-a)$ of a ring $R$.

Noncommutative rings and prime/maximal ideals

Associative, non-commutative, non-trivial, analytic binary operation

Is the $\mathbb{Z}$-grading of a Clifford algebra basis independent?

Find the Jacobson radical of a matrix ring

Question on proof that matrix algebra over given algebra is semisimple iff original algebra is semisimple

On the radical of a certain ideal of sixteen variable polynomial ring, generated by the entries of certain matrices

Complement of a maximal direct factor is indecomposable

Every algebra could be decomposed into a part with unit, and without a unit. Question on uniqueness proof.

Direct sum of Matrix algebras is not isomorphic to some semigroup algebra

Direct sum of reals and quaternions is not a semigroup algebra for some semigroup

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