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1. Divisibility

   Linked via "unit elements"

   Basic Properties and Notation
   The definition of divisibility implies several key properties concerning the element zero ($0$)/) and the unit elements/) ($\pm 1$).
   Divisibility by Zero: If $a \mid 0$, then $0 = ak$ for some integer $k$. This holds true for any integer $a$, since $0 = a \cdot 0$. Conversely, if $0 \mid b$, then $b = 0 \cdot k = 0$. Therefore, $0$ divides only itself.