Fixed Points Results in Algebras of Split Quaternion and Octonion

Symmetry

ShinMin Kang¹  Asim Naseem²  MuhammadShoaib Saleem³  Mobeen Munir⁴  Akhtar Rasool⁴ 

[1] Department of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Korea;Department of Mathematics, Government College University, Lahore 54000, Pakistan;Department of Mathematics, University of Okara, Okara 56300, Pakistan;Division of Science and Technology, University of Education, Lahore 54000, Pakistan;

关键词: fixed point;    split-quaternion;    quadratic polynomial;    split-octonion;   

DOI  :  10.3390/sym10090405

来源: DOAJ

【 摘 要 】

Fixed points of functions have applications in game theory, mathematics, physics, economics and computer science. The purpose of this article is to compute fixed points of a general quadratic polynomial in finite algebras of split quaternion and octonion over prime fields Z p. Some characterizations of fixed points in terms of the coefficients of these polynomials are also given. Particularly, cardinalities of these fixed points have been determined depending upon the characteristics of the underlying field.

【 授权许可】

Unknown