plural of simple ring

(algebra, ring theory) A ring that contains no nontrivial ideals (i.e., no (two-sided) ideals other than the zero ideal and the ring itself).

plural of prime ring

(algebra, ring theory) Any nonzero ring R such that for any two (two-sided) ideals P and Q in R, the product PQ = 0 (the zero ideal) if and only if P = 0 or Q = 0.

plural of reduced ring

(algebra, ring theory) A ring R that has no nonzero nilpotent elements; equivalently, such that, for x ∈ R, x² = 0 implies x = 0.

(nautical) A ring of metal attached to a dock to which boats may be attached by a rope.

A signet ring bearing an image of Saint Peter fishing, used in signing papal briefs.

Third-person singular simple present indicative form of ring around

plural of ordered ring