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Research Article Open access CC BY 4.0

On the Algebraic Properties of Quasi-affine Bijective Transformations

Charles Mbuyi Kalubi, Alain Musesa Landa

Asian Research Journal of Mathematics · pp. 88–101 · Published 7 Sep 2020

10.9734/arjom/2020/v16i930223

Abstract

A quasi-affine transformation, being the whole part of a rational affine transformation, is the discretized form of an affine transformation. Introduced by Marie-André Jacob-Da Col, it has been the subject of numerous studies. This article is devoted to the study of the algebraic structures of some quasi-affine bijective transformations, in particular the discrete translations of isolated points and Pythagorean rotations.

Algebraic structure pythagorean rotations discrete translations quasi-affine transformation.

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