A ring that satisfies the commutative law for multiplication is called a commutative ring. For example, the set of all integers modulo a positive integer n , or the set of all real functions defined on a given set A , form commutative rings. The ring of polynomials over a field is also commutative. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
乗法に関する交換法則を満たす環を可換環という。たとえば,正の整数 n を法とするすべての整数の集合,与えられた集合 A の上で定義された実数関数全体の集合などは可換環をつくる。体上の多項式の環も可換である。
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