Introduction to Abstract Algebra (version 0, Work in Progress)
Sergi Simon2023
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Abstract
Lecture Notes
Key takeaways
- Let us now prove that every ring has at least one maximal ideal.
- Prove that I 1 × I 2 is an ideal of the product ring
- (d) Prove that R is a local ring with unique maximal ideal I 1 .
- Let us prove the extension of ideal (2) is not prime in the latter ring.
- (i) Prove that I 1 × I 2 is an ideal of the product ring
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