If $M$ has a largest proper submodule, then $ M$ is directly indecomposable

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Can you prove that

"Every module $M$, which has a largest proper submodule or, in the set of non-zero submodules, a smallest submodule, is directly indecomposable?

edited 10 hours ago

YukiJ

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asked 10 hours ago

Fatih

New contributor

Yes, I can. Can you?
– Tobias Kildetoft
10 hours ago

I will be pleasure if you write the proof, i couldnt proof it
– Fatih
9 hours ago

add a comment |

up vote
0
down vote

favorite

Can you prove that

"Every module $M$, which has a largest proper submodule or, in the set of non-zero submodules, a smallest submodule, is directly indecomposable?

edited 10 hours ago

YukiJ

2,0552828

asked 10 hours ago

Fatih

New contributor

Yes, I can. Can you?
– Tobias Kildetoft
10 hours ago

I will be pleasure if you write the proof, i couldnt proof it
– Fatih
9 hours ago

add a comment |

up vote
0
down vote

favorite

Can you prove that

"Every module $M$, which has a largest proper submodule or, in the set of non-zero submodules, a smallest submodule, is directly indecomposable?

edited 10 hours ago

YukiJ

2,0552828

asked 10 hours ago

Fatih

New contributor

Can you prove that

"Every module $M$, which has a largest proper submodule or, in the set of non-zero submodules, a smallest submodule, is directly indecomposable?

direct-sum

edited 10 hours ago

YukiJ

2,0552828

asked 10 hours ago

Fatih

New contributor

edited 10 hours ago

YukiJ

2,0552828

asked 10 hours ago

Fatih

New contributor

edited 10 hours ago

YukiJ

2,0552828

edited 10 hours ago

YukiJ

2,0552828

edited 10 hours ago

YukiJ

2,0552828

asked 10 hours ago

Fatih

New contributor

asked 10 hours ago

Fatih

asked 10 hours ago

Fatih

New contributor

Fatih is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

Yes, I can. Can you?
– Tobias Kildetoft
10 hours ago

I will be pleasure if you write the proof, i couldnt proof it
– Fatih
9 hours ago

add a comment |

Yes, I can. Can you?
– Tobias Kildetoft
10 hours ago

I will be pleasure if you write the proof, i couldnt proof it
– Fatih
9 hours ago

Yes, I can. Can you?
– Tobias Kildetoft
10 hours ago

I will be pleasure if you write the proof, i couldnt proof it
– Fatih
9 hours ago

add a comment |

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