商しょう環かんしょうかんMeanings1nounquotient ringmathematicsTechnical term in abstract algebra. Refers to the ring obtained by factoring a ring by an ideal.整せい数すう環かんを素そ数すうで割わった商しょう環かんは有ゆう限げん体たいになる。The quotient ring of the integers modulo a prime number becomes a finite field.