Perpendicularity in an Abelian Group
نویسندگان
چکیده
We give a set of axioms to establish a perpendicularity relation in anAbelian group and then study the existence of perpendicularities in (Z n , +) 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.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013