Algebraic properties of external numbers
Neutrices and external numbers were proposed as models of orders of magnitude within nonstandard analysis. We show that the external numbers form a commutative regular semigroup for addition and that the external numbers which are not neutrices form a commutative regular semigroup for multiplication...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2012
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| Texto completo: | http://hdl.handle.net/10174/3699 |
| País: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/3699 |
| Resumo: | Neutrices and external numbers were proposed as models of orders of magnitude within nonstandard analysis. We show that the external numbers form a commutative regular semigroup for addition and that the external numbers which are not neutrices form a commutative regular semigroup for multiplication. The validity of the distributive law is restricted, but it can be fully characterized. |
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