Witt Vector - Examples

Examples

  • The Witt ring of any commutative ring R in which p is invertible is just isomorphic to RN (the product of a countable number of copies of R). In fact the Witt polynomials always give a homomorphism from the ring of Witt vectors to RN, and if p is invertible this homomorphism is an isomorphism.
  • The Witt ring of the finite field of order p is the ring of p-adic integers.
  • The Witt ring of a finite field of order pn is the unramified extension of degree n of the ring of p-adic integers.

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