Perpendicularity in an Abelian Group
Joint Authors
Mattila, Mika
Haukkanen, Pentti
Tossavainen, Timo
Merikoski, Jorma K.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Haukkanen, Pentti& Mattila, Mika& Merikoski, Jorma K.& Tossavainen, Timo. 2013. Perpendicularity in an Abelian Group. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-513504
Modern Language Association (MLA)
Haukkanen, Pentti…[et al.]. Perpendicularity in an Abelian Group. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-513504
American Medical Association (AMA)
Haukkanen, Pentti& Mattila, Mika& Merikoski, Jorma K.& Tossavainen, Timo. Perpendicularity in an Abelian Group. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-513504
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513504
