Adjoining identities and zeros to semigroups

Details Adjoining identities and zeros to semigroups Adjoining identities and zeros to semigroups

2006-10-18

arxiv.org/abs/math/0610572v2

Mathematics

Number Theory

5 pages, revised and corrected

Scientific paper

This note shows how iteration of the standard process of adjoining identities
and zeros to semigroups gives rise naturally to the lexicographical ordering on
the additive semigroup of n-tuples of nonnegative integers and n-tuples of
integers.

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