Ring

Ring

  • Algebraic structure ⟨S, ∗1, ∗2⟩
    • A set S
    • Two associative binary operations ∗1 and ∗2
    • ⟨S, ∗1⟩ is a commutative (Abelian) group with identity element e1
    • ⟨S, ∗2⟩ is a monoid with identity element e2
    • The operation ∗2 is distributive over the operation ∗1