Existence of monoids compatible with a family of mappings

Details Existence of monoids compatible with a family of mappings Existence of monoids compatible with a family of mappings

2009-03-05

arxiv.org/abs/0903.1084v3

Mathematics

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32 pages An improved and expanded version

Scientific paper

These notes present an approach to obtaining monoid operations which are
compatible with a given family of mappings in the sense that the mappings
become left translations in the monoid. This can be applied to various
situations such as the addition on the natural numbers and the integers as well
as the concatenation of lists.

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