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I am reading Paul E. Bland's book "Rings and Their Modules" ...
Currently I am focused on Section 4.2 Noetherian and Artinian Modules [FONT=MathJax_Main][FONT=MathJax_Math] ... ...
I need some help in order to fully understand Example 3, Section 4.2 ...
Example 3, Section 4.2 reads as follows:View attachment 8095
My questions are as follows:Question 1
Can someone please explain/illustrate the nature of $$V_1$$ ... ?
Question 2
Can someone please demonstrate exactly how $$V_1 \subseteq V_2 \subseteq V_3 \subseteq$$ ...
Help will be appreciated ...
Peter
Currently I am focused on Section 4.2 Noetherian and Artinian Modules [FONT=MathJax_Main][FONT=MathJax_Math] ... ...
I need some help in order to fully understand Example 3, Section 4.2 ...
Example 3, Section 4.2 reads as follows:View attachment 8095
My questions are as follows:Question 1
Can someone please explain/illustrate the nature of $$V_1$$ ... ?
Question 2
Can someone please demonstrate exactly how $$V_1 \subseteq V_2 \subseteq V_3 \subseteq$$ ...
Help will be appreciated ...
Peter