Definition:Residue Class/Also defined as

Residue Class: Also defined as

In their definition of a residue class, some sources are lax at defining $m$ as a strictly positive integer, and the restriction becomes clear only during further development of the theory.

Some sources with particular aims in mind are deliberately explicit about specifying that $m > 1$.

Sources

• 1964: Iain T. Adamson: Introduction to Field Theory ... (previous) ... (next): Chapter $\text {I}$: Elementary Definitions: $\S 1$. Rings and Fields: Example $4$
• 2008: David Joyner: Adventures in Group Theory (2nd ed.) ... (previous) ... (next): Chapter $2$: 'And you do addition?': $\S 2.3$: Relations: Example $2.3.4$
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): congruence class