jaj•a•person's notes

Paolo Aluffi

Algebra: Chapter 0

978-0-8218-4781-7

Backlinks

  • Adjoining a root to a field
  • Algebraic closure
  • Bound on the automorphism group of a finite simple extension
  • Canonical decomposition
  • Cayley's theorem for rings
  • Compositions only of algebraic extensions are algebraic
  • Eisenstein's criterion
  • Finite extension of a Galois field
  • GCD
  • Galois extension
  • Galois field
  • Maximal ideal iff prime ideal in a PID
  • Module-finite R-monoid
  • Noetherian module
  • Normal extension
  • Perfect field
  • Polynomial ring over a UFD is a UFD
  • Polynomial ring
  • Principal ideal domain
  • Ring
  • Separability of a finite extension
  • Separable polynomial
  • Simple extension
  • Splitting field
  • Tensor product of modules over a commutative ring
  • Unique factorization domain
  • Unit
  • Zero ring
  • Zero-divisor

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