Set of residue classes Z6 is equipped with the usual operations of multiplication and addition of residue classes. Which of the following statements about the elements of the set Z6 is not correct? (a) Element 0 is the identity for addition. (b) The additive inverse of element 1 is 5

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 1E: Prove that the multiplication defined 5.24 is a binary operation on Lemma 5.24 ...
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Set of residue classes Z6 is equipped with the usual operations of multiplication and addition of residue classes. Which of the following statements about the elements of the set Z6 is not correct? (a) Element 0 is the identity for addition. (b) The additive inverse of element 1 is 5. (c) The multiplicative inverse of element 2 is 3. (d) Element 3 is invertible under addition. (e) Element 4 does not have a multiplicative inverse.

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