Abstract Algebra - The Basics of Rings

Abstract Algebra - The Basics of Rings

Michael Penn via YouTube Direct link

Abstract Algebra | What is a ring?

1 of 16

1 of 16

Abstract Algebra | What is a ring?

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Abstract Algebra - The Basics of Rings

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  1. 1 Abstract Algebra | What is a ring?
  2. 2 Abstract Algebra | Types of rings.
  3. 3 Abstract Algebra | Some basic results regarding integral domains.
  4. 4 Abstract Algebra | Some basic exercises involving rings.
  5. 5 Abstract Algebra | Units and zero divisors of a ring.
  6. 6 Abstract Algebra | More examples involving rings: ideals and isomorphisms.
  7. 7 Abstract Algebra | The characteristic of a ring.
  8. 8 Abstract Algebra | Ring homomorphisms
  9. 9 Abstract Algebra | The motivation for the definition of an ideal.
  10. 10 Abstract Algebra | Principal Ideals of a Ring
  11. 11 Abstract Algebra | Properties and examples of ring homomorphisms.
  12. 12 Abstract Algebra | First Isomorphism Theorem for Rings
  13. 13 Abstract Algebra | Maximal and prime ideals.
  14. 14 Abstract Algebra | The Second Isomorphism Theorem for Rings
  15. 15 Abstract Algebra | More ring theory examples.
  16. 16 Abstract Algebra | Polynomial Rings

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