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5. If D is an integral domain with characteristic prime p, show that (a + b) = a + b for all a, b E D. Hint: р (a + b)'
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5. If D is an integral domain with characteristic prime p, show that (a + b) = a + b for all a, b E D. Hint: р (a + b)'
5. If D is an integral domain with characteristic prime p, show that (a + b) = a + b for all a, b E D. Hint: р (a + b)' = a + (1)-'6+)==-262+...+ -2- 6-1) 262-++ ( b ap + abp 2 6. If R is a commutative ring with unity of characteristic 4, compute a 4 (a+b) for all a, b ER. 7. Find the characteristic of the subring {0,2,4,6,8} < Z10.
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