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Please help with this math problem! Modern Algebra?
Let R be a commutative ring with no zero divisors. Suppose z is an element of
R satisfying z
2
= 1. Show that z = 1 or z = −1.
2 Answers
- SuleimanLv 69 years agoFavorite Answer
z² = 1
⇒ 0 = z² - 1 = (z - 1)(z + 1)
⇒ z - 1 = 0 or z + 1 = 0 (by integrality)
⇒ z = 1 or z = -1.
- ?Lv 45 years ago
i believe you would favor to multiply the $3 by technique of 60 to get the finished promoting volume it really is $100 and eighty and artwork from there: 3.5c + 2p = 100 and eighty c + p = 60 so that you get p = 60-c -------------(a million) sub into first eqn 3.5c + 2(60-c) = 100 and eighty 3.5c + 120 - 2c = 100 and eighty a million.5c = 60 c = 40 so p may be 20
