Quotient Group. Fun new definition that I will need to play around with to really get a good grasp on the context.
I did not get the operation in example at the top of page 218 the first time.
I had to try the operation to verify that (Mr1)(Mh)=Md. I thought that the coset elements are multiplied, but no it's the operator on the coset that forms the product.
Example on top of page 219 I follow the example, but at the end of the example there is a brief explanation on the fact that Z not being an ideal of Q makes Q/Z not a quotient group...???
WHAT???? ^
Oh...my bad...YES a quoteient group...but not a Quotient ring. DUH..
I did not get the operation in example at the top of page 218 the first time.
I had to try the operation to verify that (Mr1)(Mh)=Md. I thought that the coset elements are multiplied, but no it's the operator on the coset that forms the product.
Example on top of page 219 I follow the example, but at the end of the example there is a brief explanation on the fact that Z not being an ideal of Q makes Q/Z not a quotient group...???
WHAT???? ^
Oh...my bad...YES a quoteient group...but not a Quotient ring. DUH..
Reflective)))
Na=Nc and Nb=Nd => that Nab=Ncd
also theorem 7.36 is a good reminder of rings and ideals and their properties.
Na=Nc and Nb=Nd => that Nab=Ncd
also theorem 7.36 is a good reminder of rings and ideals and their properties.
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