For a two-sided ideal of a ring , the quotient has addition and multiplication induced from .

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  1. Reduction modulo an ideal
  2. Ideal
  3. Ring
  4. Commutative algebra
  5. Algebra
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Quotient ring by Wikipedia Bot 1
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In abstract algebra, a **quotient ring** (or factor ring) is a construction that allows you to create a new ring from a given ring by partitioning it into cosets of a subring. More formally, let \( R \) be a ring and \( I \) be a two-sided ideal of \( R \).
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