Tag: set of integers. algebraic number theory.

• Set of gaussian integers

  Z[i ] = {a+bi,where a ,b belongs to Z} Set of gaussian integers form Ring because it is abelian group under addition, semi group under multiplication and distributive laws also hold. Z[i] also form integral domain But it doesn’t form field.

  iqragulzar204

  October 23, 2021

  Uncategorized

  field, gaussian integers, integral domain, Ring, set of integers. algebraic number theory.