In class, we defined the characteristic of a field; the definition of the charac

ID: 3422349 • Letter: I

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In class, we defined the characteristic of a field; the definition of the characteristic of a ring with unity is the same. That is, the characteristic of a ring with unity R is the smallest positive integer k such that 1 + 1 + · · · + 1= 0?k copies of 1 . If no such k exists, the characteristic is zero. Let m, n be positive integers. Find the characteristic of Zm ? Zn.

Problem 4: In class, we defined the characteristic of a field; the definition of the characteristic of a ring with unity is the same. That is, the characteristic of a ring with unity R is the smallest positive integer k such that k copies of 1 If no such k exists, the characteristic is zero. Let m, n be positive integers. Find the characteristic of Zn® Zn.

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In class, we defined the characteristic of a field; the definition of the charac

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In class, we defined the characteristic of a field; the definition of the charac

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