Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/3699
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| Title: | Algebraic properties of external numbers |
| Authors: | Dinis, Bruno
van den Berg, Imme |
| Editors: | Cutland, Nigel |
| Keywords: | neutrix
external number
regular semigroup
distributivity
nonstandard analysis |
| Issue Date: | 2011 |
| Publisher: | Journal of Logic & Analysis |
| Citation: | Journal of Logic & Analysis 3:9 (2011) 1–30 |
| Abstract: | 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. |
| URI: | http://hdl.handle.net/10174/3699 |
| ISSN: | 1759-9008 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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