英语词汇“quotient ring”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典-新都网

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quotient 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.

extracted from quotientn.

as lemmas

单词	quotient ring
释义	> as lemmas quotient 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. extracted from quotientn. < as lemmas
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