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I am reading the book "An Introduction to Rings and Modules with K-theory in View" by A.J. Berrick and M.E. Keating ... ...
I am currently focused on Chapter 3; Noetherian Rings and Polynomial Rings.
I need help with the proof of Corollary 3.1.3.
The statement of Corollary 3.1.3 reads as follows (page 110):https://www.physicsforums.com/attachments/4875Now, Berrick and Keating give no proof of this Corollary: presumably they think the proof is simple and obvious. Maybe it is ... but I need help in formulating a formal and rigorous proof ... can someone please help ...Because we are dealing with a Corollary to Proposition 3.1.2 readers of this post need the text of that Proposition. Proposition 3.1.2 and its proof are as follows:https://www.physicsforums.com/attachments/4876
https://www.physicsforums.com/attachments/4877Hope someone can help with the proof of Corollary 3.1.3 ... ...
Peter
I am currently focused on Chapter 3; Noetherian Rings and Polynomial Rings.
I need help with the proof of Corollary 3.1.3.
The statement of Corollary 3.1.3 reads as follows (page 110):https://www.physicsforums.com/attachments/4875Now, Berrick and Keating give no proof of this Corollary: presumably they think the proof is simple and obvious. Maybe it is ... but I need help in formulating a formal and rigorous proof ... can someone please help ...Because we are dealing with a Corollary to Proposition 3.1.2 readers of this post need the text of that Proposition. Proposition 3.1.2 and its proof are as follows:https://www.physicsforums.com/attachments/4876
https://www.physicsforums.com/attachments/4877Hope someone can help with the proof of Corollary 3.1.3 ... ...
Peter