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

Chapter3: Groups

Section3.5: Isomorphisms

Problem 4E: Let G=1,i,1,i under multiplication, and let G=4=[ 0 ],[ 1 ],[ 2 ],[ 3 ] under addition. Find an...

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Question

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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