Set of Residue Classes/Examples/2

Example of Set of Residue Classes

The elements of $\Z_2$, the set of residue classes modulo $2$, are:

\(\ds \eqclass 0 2\) \(=\) \(\ds \set {\dotsc, -6, -4, -2, 0, 2, 4, 6, \dotsc}\)
\(\ds \eqclass 1 2\) \(=\) \(\ds \set {\dotsc, -5, -3, -1, 1, 3, 5, \dotsc}\)


Sources

  • 1977: Gary Chartrand: Introductory Graph Theory ... (previous) ... (next): Appendix $\text{A}.3$: Equivalence Relations: Problem Set $\text{A}.3$: $17$
  • 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $2$: Maps and relations on sets: Example $2.23$
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