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Unformatted text preview: , c , b d ). ( a, b ) ( a , b ) ab = a b, (1) ( c, d ) ( c , d ) cd = c d. (2) Multiplying the frst by cd and substituting in the second gives ab cd = a bcd = a bc d. Q. E. D. Problem 3: (2 points) Label the Following true or False (a) (0.5 points) T Q is an ordered feld. (b) (0.5 points) A feld need not be an integral domain. (c) (0.5 points) Let X be a nonempty set and ( X ) be the power set oF X . Then ( X ) with as + and as is a feld. (d) (0.5 points) A subset oF A B such that each element oF A occurs exactly once as a frst coordinate is called an injective Function. 2...
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This note was uploaded on 10/18/2011 for the course MATH 19900 taught by Professor Schmidt during the Fall '07 term at UChicago.
- Fall '07