| 单词 | quotient ring |
| 释义 | > as lemmasquotient ring quotient ring n. Mathematics a ring R/K, the elements of which are the cosets in a given ring R of an ideal K of R. ΚΠ 1935 Ann. Math. 36 984 The quotient-ring K/N, where N is the radical of K, is semi-simple. 1965 E. M. Patterson & D. E. Rutherford Elem. Abstr. Algebra iii. 101 S is an ideal in the ring R... The set of all cosets of S in R is a ring:..this is called the..quotient ring of R by S. 1992 G. Ellis Rings & Fields Pref. p. vi Ring homomorphisms and quotient rings are dealt with in the exercises. < as lemmas |
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