Does the set of residue classes (mod 3) form a group with respect to modular addition?
A)yes
B)no
C)can say
D)insufficient data

Question

Does the set of residue classes (mod 3) form a group with respect to modular addition?
A)yes
B)no
C)can	 say
D)insufficient data

Quizplus · Accepted Answer

The set of residue classes modulo 3, which are {0, 1, 2}, forms a group with respect to modular addition because it satisfies the group axioms: closure, associativity, identity (0 is the identity element), and each element has an inverse (0's inverse is 0, 1's inverse is 2, and 2's inverse is 1).

Does the Set of Residue Classes (Mod 3) Form a Group