Perpendicularity in an Abelian Group
| Autor: | Pentti Haukkanen, Mika Mattila, Jorma K. Merikoski, Timo Tossavainen |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/2013/983607 |
| Popis: | We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in (ℤn,+) and (ℚ+,·) and in certain other groups. Our approach provides a justification for the use of the symbol ⊥ denoting relative primeness in number theory and extends the domain of this convention to some degree. Related to that, we also consider parallelism from an axiomatic perspective. |
| Databáze: | Directory of Open Access Journals |
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