Find (bar{x}, bar{y} in mathbb{Z}_{15}) such that (bar{x} bar{y}=overline{0}) but (bar{x} eq overline{0}, bar{y} eq overline{0}). Find
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Find \(\bar{x}, \bar{y} \in \mathbb{Z}_{15}\) such that \(\bar{x} \bar{y}=\overline{0}\) but \(\bar{x} eq \overline{0}, \bar{y} eq \overline{0}\).
Find a condition on \(m\) such that the equality \(\bar{x} \bar{y}=\overline{0}\) in \(\mathbb{Z}_{m}\) implies that either \(\bar{x}=\overline{0}\) or \(\bar{y}=\overline{0}\).
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