List questions from modules

Published on 15 Jan 2019 - 22:22

503

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Functorial proof of Cayley-Hamilton using exterior powers

Published on 25 Mar 2026 - 6:10

1.2k

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Different definitions of an algebra over a commutative ring

Published on 17 Jan 2019 - 0:28

121

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A condition equivalent to $R$ being a direct summand

Published on 26 Mar 2026 - 20:44

48

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A natural isomomorphism of $G$-modules

Published on 18 Jan 2019 - 7:58

43

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Exponent of $1+J(GF),$ $J$ stands for Jacobson radical.

Published on 25 Mar 2026 - 4:41

24

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Variety of submodules of a finitely presented module

Published on 28 Mar 2026 - 6:16

48

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Length of module $\otimes A[X]$

Published on 19 Jan 2019 - 1:16

36

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Constant Endomorphism

Published on 25 Mar 2026 - 7:38

189

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$ f_i=\sum a_{ij}e_j $ form a base for a free submodule $ K $ of $ R^{(n)} $ if and only if $ \det A $ is not a zero-divisor.

Published on 20 Jan 2019 - 2:31

1.2k

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(Solved) Exact functors commute with homology

Published on 25 Mar 2026 - 20:58

58

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Factorisation of a map of modules

Published on 20 Jan 2019 - 12:49

105

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Show that this submodule is not completely reducible

Published on 25 Mar 2026 - 13:52

178

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Torsion in Cokernel is Annihilated by Integer

Published on 25 Mar 2026 - 20:41

30

Views

Sufficient conditions on $M$ such that the intersection of infinitely many $\mathfrak{m} M$, $\mathfrak{m}$ maximal ideal, is zero?

Published on 22 Jan 2019 - 7:48

List Question

Are there any references on linear algebra (module theory) over non unital rings?

Functorial proof of Cayley-Hamilton using exterior powers

Different definitions of an algebra over a commutative ring

A condition equivalent to $R$ being a direct summand

A natural isomomorphism of $G$-modules

Exponent of $1+J(GF),$ $J$ stands for Jacobson radical.

Variety of submodules of a finitely presented module

Length of module $\otimes A[X]$

Constant Endomorphism

$ f_i=\sum a_{ij}e_j $ form a base for a free submodule $ K $ of $ R^{(n)} $ if and only if $ \det A $ is not a zero-divisor.

(Solved) Exact functors commute with homology

Factorisation of a map of modules

Show that this submodule is not completely reducible

Torsion in Cokernel is Annihilated by Integer

Sufficient conditions on $M$ such that the intersection of infinitely many $\mathfrak{m} M$, $\mathfrak{m}$ maximal ideal, is zero?

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