quotient ring

名词 n.

英文释义

名词 n.
  1. 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.
    — The third section covers a construct similar to the ring S°R — the maximal quotient ring, which exists for any ring. (When R is nonsingular, the maximal quotient ring is exactly S°R.) Finally, Section D provides an answer to the question of which right and left nonsingular rings have coinciding maximal right and left quotient rings.

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