ONE CONSTRUCTION OF AN AFFINE PLANE OVER A CORPS
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 5
Abstract
In this paper, based on several meanings and statements discussed in the literature, we intend constuction a affine plane about a of whatsoever corps (K,+,*). His points conceive as ordered pairs (α,β), where α and β are elements of corps (K,+,*). Whereas straight-line in corps, the conceptualize by equations of the type x*a+y*b=c, where a≠0K or b≠0K thevariables and coefficients are elements of that corps. To achieve this construction we prove some theorems which show that the incidence structure A=(P, L, I) connected to the corps K satisfies axioms A1, A2, A3 definition of affine plane. In all proofs rely on the sense of thecorps as his ring and properties derived from that definition.
Authors and Affiliations
Orgest Zaka
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- EP ID EP651744
- DOI 10.24297/jam.v12i5.215
- Views 133
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