Decide whether each of the following statements are true. (a) If a, b, m, n N and a | mand bn, then ab | mn. (b) If a, b, m, n = N and ab | mn, then either a | m or b | n. [Justify your answers.]
Decide whether each of the following statements are true. (a) If a, b, m, n N and a | mand bn, then ab | mn. (b) If a, b, m, n = N and ab | mn, then either a | m or b | n. [Justify your answers.]
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 4TFE: Label each of the following statement as either true or false.
only if
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