Title: Subsets of Euclidean domains possessing a unique division algorithm (12 pages)
Author(s): Andrew D. Lewis
Detail: Miscellaneous

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.

283K pdf
Last Updated: Fri Jul 10 09:50:32 2020

Andrew D. Lewis (andrew at mast.queensu.ca)