quotient ring

== English == === Noun === quotient ring (plural quotient rings) (algebra, ring theory) For a given ring R and ideal I contained in R, another ring, denoted R / I, whose elements are the cosets of I in R. ==== Synonyms ==== (ring whose elements are the cosets of an ideal): difference ring, factor ring, residue class ring ==== Hyponyms ==== residue field ==== Derived terms ==== left quotient ring right quotient ring maximal quotient ring ==== Translations ==== === See also === quotient group quotient module quotient object quotient space === Further reading === Quotient module on Wikipedia.Wikipedia Residue field on Wikipedia.Wikipedia