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I'm reading the book "Elements of the representation theory of associative algebras volume 1""Elements of the representation theory of associative algebras, volume 1".And And I can't understand the proof of the proposition 3.11 on page 124 (the place where marked green). 

The place where marked greenenter image description here

"because P$P$ is injective,u $u$ factors through P",how$P$". How to get this result?Thank you.

I'm reading the book "Elements of the representation theory of associative algebras volume 1".And I can't understand the proof of the proposition 3.11 on page 124.The place where marked green

"because P is injective,u factors through P",how to get this result?Thank you.

I'm reading the book "Elements of the representation theory of associative algebras, volume 1". And I can't understand the proof of the proposition 3.11 on page 124 (the place where marked green). 

enter image description here

"because $P$ is injective, $u$ factors through $P$". How to get this result?

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A question of the book Elements of the representation theory of associative algebras volume 1

I'm reading the book "Elements of the representation theory of associative algebras volume 1".And I can't understand the proof of the proposition 3.11 on page 124.The place where marked green

"because P is injective,u factors through P",how to get this result?Thank you.