On Radix Representation of Rings

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	Similar Articles Articles by Asger Munk Nielsen Articles by Peter Kornerup

13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97)

Asilomar, CA

March 06-March 09

ISBN: 0-8186-7846-1

	ASCII Text	x
	Asger Munk Nielsen, Peter Kornerup, "On Radix Representation of Rings," Computer Arithmetic, IEEE Symposium on, pp. 34, 13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97), 1997.

	BibTex	x
	@article{ 10.1109/ARITH.1997.614877, author = {Asger Munk Nielsen and Peter Kornerup}, title = {On Radix Representation of Rings}, journal ={Computer Arithmetic, IEEE Symposium on}, volume = {0}, year = {1997}, issn = {1063-6889}, pages = {34}, doi = {http://doi.ieeecomputersociety.org/10.1109/ARITH.1997.614877}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Computer Arithmetic, IEEE Symposium on TI - On Radix Representation of Rings SN - 1063-6889 SP EP A1 - Asger Munk Nielsen, A1 - Peter Kornerup, PY - 1997 KW - arithmetic KW - radix representation KW - rings KW - redundancy KW - completeness KW - mappings KW - complex number systems KW - Gaussian integers KW - Eisenstein integers VL - 0 JA - Computer Arithmetic, IEEE Symposium on ER -

Asger Munk Nielsen, Dept. of Math. & Comput. Sci., Odense Univ., Denmark

Peter Kornerup, Dept. of Math. & Comput. Sci., Odense Univ., Denmark

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ARITH.1997.614877

This paper presents a thorough analysis of radix representations of elements from general rings. In particular, we study the questions of redundancy, completeness and mappings into such representations. After a brief description of the more usual representations of integers, a more detailed analysis of various complex number systems is performed. This includes the "classical" complex number systems for the Gaussian integers, as well as the Eisenstein integers.

Index Terms:

arithmetic, radix representation, rings, redundancy, completeness, mappings, complex number systems, Gaussian integers, Eisenstein integers

Citation:

Asger Munk Nielsen, Peter Kornerup, "On Radix Representation of Rings," arith, pp.34, 13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97), 1997

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