Mathematics Faculty Publications
Document Type
Article
Publication Date
1982
Disciplines
Mathematics
Abstract
This paper investigates the transformations of certain geometric structures into algebraic ones and conversely. The algebraic notion of absolute value corresponds with the geometric one of equidistance. Further, latin squares with absolute values correspond to regular equidistance relations, "near groups" yield 1 point homogenous equidistance relations, and "near commutative groups" yield 2-point homogenous equidistance relations.
Recommended Citation
Sibley TQ. 1982. Equidistance relations: a new bridge between geometric and algebraic structures. Cuttington Research Journal 1: 19-25.