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The following pages link to Every Euclidean ring has a unique smallest Euclidean norm:

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• Element of minimum norm in Euclidean ring is a unit ‎ (← links)
• Element of minimum norm among non-units in Euclidean ring is a universal side divisor ‎ (← links)
• Minimum over principal ideal of Euclidean norm is a smaller multiplicatively monotone Euclidean norm ‎ (← links)

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