I am reading Dummit and Foote, Section 10.5 : Exact Sequences - Projective, Injective and Flat Modules.(adsbygoogle = window.adsbygoogle || []).push({});

I am studying Proposition 30 (D&F, page 389)

I need some help in order to interpret one of the statements in Proposition 30.

Proposition 29 and its proof (Ch 10, D&F page 388) reads as follows:

Statement (3) of Proposition 30 begins as follows:

"(3) If P is a quotient of the R-module N ... "

I am uncertain regarding the exact meaning of this statement ... I suspect it means that there exists a sub-module module Q of N such that P = N/Q ...

BUT ... firstly, this seems a vague thing to assert and secondly, I am most uncertain of this interpretation ...

Can someone please clarify the matter for me?

Peter

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# Simple question of interpretation - D&F Ch 10 - Proposition 30

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