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Adjoining identities and zeros to semigroups

数论 2021-03-02 v2

摘要

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.

关键词

引用

@article{arxiv.math/0610572,
  title  = {Adjoining identities and zeros to semigroups},
  author = {Melvyn B. Nathanson},
  journal= {arXiv preprint arXiv:math/0610572},
  year   = {2021}
}

备注

5 pages, revised and corrected