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Oct 13, 2020 at 12:38 comment added user666 One last question, sir. Can we conclude that socle series and radical series have successive quotients simple in the case of projective indecomposable?
Oct 13, 2020 at 12:31 comment added user666 helpful! thx you!
Oct 13, 2020 at 12:25 history edited Mare CC BY-SA 4.0
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Oct 13, 2020 at 12:16 comment added user666 hang on sir. Do we need "the two coincide" to conclude that there is a onto map from $M$ to the socle? what is the connection here? thx!
Oct 13, 2020 at 12:12 comment added user666 clear now thank you!
Oct 13, 2020 at 12:06 comment added Mare @steven It is the top composition factor, namely $P_i /rad(P_i)$.
Oct 13, 2020 at 12:04 comment added user666 thank you for your input! question: what is $top(Pi)$? pardon please
Oct 13, 2020 at 11:59 vote accept user666
Oct 13, 2020 at 11:53 history answered Mare CC BY-SA 4.0