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Computer Arithmetic and Validity
book

Computer Arithmetic and Validity

by Ulrich Kulisch
April 2013
Intermediate to advanced content levelIntermediate to advanced
456 pages
16h 7m
English
De Gruyter
Content preview from Computer Arithmetic and Validity
Chapter 2
Ringoids and vectoids
In this chapter we shall develop the concepts of a ringoid and a vectoid
as well as those of weakly ordered or ordered or inclusion-isotonally or-
dered ringoids and vectoids. The development will be self-contained and,
in particular, independent of Chapter 1. Chapters 3 and 4 will bring the
contents of the first two chapters together.
This chapter begins with the definition of a ringoid and the derivation
of its most important properties. Then we show that the power set of a
ringoid is a ringoid, that the matrices over a weakly ordered or an ordered
ringoid form a weakly ordered or an ordered ringoid, and that the com-
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Publisher Resources

ISBN: 9783110301731