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The smallest positive solution of the congruence ax ≡ 0( mod n) is called the additive...

The smallest positive solution of the congruence ax ≡ 0( mod n) is called the additive order of a modulo n. Find the additive orders of each of the following elements by solving the appropriate congruences: (abstract algebra)

(a) 20 modulo 28
(b) 8 modulo 15

(c) 7 modulo 11

(d) 9 modulo 15

Math   Advanced-Math   
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