On the Algebraic Properties of Quasi-affine Bijective Transformations
Charles Mbuyi Kalubi *
Département de Mathématiques et Informatique, Faculté de Sciences, Université de Kinshasa, KINSHASA XI, Kinshasa, République Démocratique du Congo.
Alain Musesa Landa
Département de Mathématiques et Informatique, Faculté de Sciences, Université de Kinshasa, KINSHASA XI, Kinshasa, République Démocratique du Congo.
*Author to whom correspondence should be addressed.
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.
Keywords: Algebraic structure, pythagorean rotations, discrete translations, quasi-affine transformation.