## One Construction of an Affine Plane Over a Corps

**Authors:** Orgest ZAKA, Kristaq FILIPI

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 the
variables and coefficients are elements of that body. 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 the
corps as his ring and properties derived from that definition.

**Comments:** 9 Pages.

**Download:** **PDF**

### Submission history

[v1] 2016-02-20 04:32:07

**Unique-IP document downloads:** 56 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*