plural of prime ideal

(algebra, ring theory) Any (two-sided) ideal I such that for arbitrary ideals P and Q, PQ⊆I⟹P⊆I or Q⊆I.

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.

(algebra, field theory) A field that contains no proper subfields.

plural of prime field

The cost of production, without regard to profit.

plural of prime meridian

(mathematics) Any Eisenstein integer that is prime.

plural of Eisenstein prime