- #1
Math Amateur
Gold Member
MHB
- 3,998
- 48
I am reading "Introduction to Ring Theory" by P. M. Cohn (Springer Undergraduate Mathematics Series)[/COLOR]
In Chapter 2: Linear Algebras and Artinian Rings, on Page 61, Cohn presents Theorem 2,5 concerning the lengths of modules.
Cohn indicates that the proof of this theorem is obvious/trivial ... BUT ... I am having trouble even getting started in formulating an explicit and formal proof ... can someone please help ...
The text of Theorem 2.5 is as follows:
View attachment 3325 Help will be appreciated,
Peter
In Chapter 2: Linear Algebras and Artinian Rings, on Page 61, Cohn presents Theorem 2,5 concerning the lengths of modules.
Cohn indicates that the proof of this theorem is obvious/trivial ... BUT ... I am having trouble even getting started in formulating an explicit and formal proof ... can someone please help ...
The text of Theorem 2.5 is as follows:
View attachment 3325 Help will be appreciated,
Peter