On The Right, Left And Middle Linear-Bivariate Polynomials Of A Linear-Bivariate Polynomial That Generates A Quasigroup Over The Ring Zn

Authors

  • E. Ilojide Department of Mathematics, Federal University of Agriculture, Abeokuta 110101, Nigeria
  • T. G. Jaiyeola Department of Mathematics, Obafemi Awolowo University, Ile Ife 220005, Nigeria
  • S. A. Akinyele Department of Mathematics, Federal University of Agriculture, Abeokuta 110101, Nigeria.

Abstract

In this work, the right, left and middle linear-bivariate polynomials of a given linear-bivariate polynomials P(x, y) are derived and the isotopy structure (isotopism, autotopism, isomorphism, automorphism) of quasigroups generated by them are also studied. Some sufficient conditions for the isomorphism, isotopism and equivalence of the generated quasigroups are also deduced.

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Published

2021-04-12

How to Cite

Ilojide, E. ., Jaiyeola, T. G., & Akinyele, S. A. . (2021). On The Right, Left And Middle Linear-Bivariate Polynomials Of A Linear-Bivariate Polynomial That Generates A Quasigroup Over The Ring Zn. Journal of the Nigerian Mathematical Society, 31(1-3), 107–118. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/753

Issue

Vol. 31 No. 1-3 (2012): JNMS

Section

Articles

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