2. We learned about cosets of vector subspaces in Math 344 (one of the ACME classes), and Dr. Grant mentioned that those behave just like cosets in a ring. It's really cool to finally be learning about those, especially after having the background to understand them better.
Saturday, October 15, 2016
6.1, due on October 17
1. I don't understand why R must have an identity for Theorems 6.2 and 6.3. Wouldn't the proof still work if R was a commutative ring without identity? Also, are there any good examples of ideals that aren't finitely generated? Never mind, I just realized that the second example on page 6 is an ideal that's not finitely generated.
2. We learned about cosets of vector subspaces in Math 344 (one of the ACME classes), and Dr. Grant mentioned that those behave just like cosets in a ring. It's really cool to finally be learning about those, especially after having the background to understand them better.
2. We learned about cosets of vector subspaces in Math 344 (one of the ACME classes), and Dr. Grant mentioned that those behave just like cosets in a ring. It's really cool to finally be learning about those, especially after having the background to understand them better.
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