Algebraic properties of external numbers
| dc.contributor.author | Dinis, Bruno | |
| dc.contributor.author | van den Berg, Imme | |
| dc.contributor.editor | Cutland, Nigel | |
| dc.date.accessioned | 2012-01-17T15:37:42Z | |
| dc.date.available | 2012-01-17T15:37:42Z | |
| dc.date.issued | 2011 | |
| dc.description.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. | por |
| dc.identifier.authoremail | bruno.dinis@uevora.pt | |
| dc.identifier.authoremail | ivdb@uevora.pt | |
| dc.identifier.citation | Journal of Logic & Analysis 3:9 (2011) 1–30 | por |
| dc.identifier.issn | 1759-9008 | |
| dc.identifier.scientificarea | 333 | por |
| dc.identifier.uri | http://hdl.handle.net/10174/3699 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Journal of Logic & Analysis | por |
| dc.rights | openAccess | por |
| dc.subject | neutrix | por |
| dc.subject | external number | por |
| dc.subject | regular semigroup | por |
| dc.subject | distributivity | por |
| dc.subject | nonstandard analysis | por |
| dc.title | Algebraic properties of external numbers | por |
| dc.type | article | por |