Original manuscript: 2009/03/16

Subsets of a Euclidean domain are characterised with the following objectives: (1) ensuring uniqueness of the quotient and remainder in the Division Algorithm; (2) permitting unique base expansion with respect to any nonzero nonunit in the ring; (3) allowing explicit solutions to Bézout's identity with norm constraints.

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Last Updated: Thu Jun 13 10:02:29 2024