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I am focused on Section 4.2: Noetherian and Artinian Modules and need some help to fully understand the proof of part of Corollary 4.2.6 ... ...

Corollary 4.2.6 reads as follows:View attachment 8193

Bland gives a statement of Corollary 4.2.6 but does not offer a proof ... ...

Can someone please explain how to prove Corollary 4.2.6 ...Since Corollary 4.2.6 is a corollary to Proposition 4.2.5 I am providing the text of Proposition 4.2.5 and its proof ... as follows ... ... https://www.physicsforums.com/attachments/8194

https://www.physicsforums.com/attachments/8195