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I am reading Paul E. Bland's book, "Rings and Their Modules".
I am focused on Chapter 1, Section 1.4 Modules ... ...
I need help with the proving a statement Bland makes in Example 13 ... ...
Example 13 reads as follows:View attachment 6387In the above text from Bland, we read the following:
" ... If $$N$$ is a maximal submodule of $$M$$, then it follows that $$M/N$$ is a simple $$R$$-module ... ... "I do not understand why this is true ... can anyone help with a formal proof of this statement ...
Hope someone can help ...
Peter
I am focused on Chapter 1, Section 1.4 Modules ... ...
I need help with the proving a statement Bland makes in Example 13 ... ...
Example 13 reads as follows:View attachment 6387In the above text from Bland, we read the following:
" ... If $$N$$ is a maximal submodule of $$M$$, then it follows that $$M/N$$ is a simple $$R$$-module ... ... "I do not understand why this is true ... can anyone help with a formal proof of this statement ...
Hope someone can help ...
Peter