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?






direct-sum







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  • 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















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?






direct-sum







share|cite|improve this question









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













up vote
0
down vote

favorite









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?






direct-sum







share|cite|improve this question









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.











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




direct-sum






share|cite|improve this question









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.











share|cite|improve this question









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









share|cite|improve this question




share|cite|improve this question








edited 10 hours ago









YukiJ

2,0552828




2,0552828






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asked 10 hours ago









Fatih

11




11




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Fatih is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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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.






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


















  • 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




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




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















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