On The Isotopy Structure Of Elements Of The Group Pp(Zn)

Authors

  • T. G. Jaiyeola DEPARTMENT OF MATHEMATICS, OBAFEMI AWOLOWO UNIVERSITY, ILE - IFE, 220005, NIGERIA.
  • E. Ilojide DEPARTMENT OF MATHEMATICS, FEDERAL UNIVERSITY OF AGRICULTURE, ABEOKUTA 110101, NIGERIA
  • B. A. Popoola DEPARTMENT OF MATHEMATICS, FEDERAL COLLEGE OF EDUCATION, OSIELE, ABEOKUTA 110101, NIGERIA.

Abstract

In this study, some linear-bivariate polynomials p(x, y) = a + bx + cy that generate quasigroups over the ring Zn and which forms a group Pp(Zn) which is a subgroup of a monoid Hp(Zn) are studied. Their isotopy structure (isotopism, autotopism, isomorphism, automorphism) are also studied. Some sufficient conditions based on a, b, c, for the isomorphism, isotopism and equivalence of the generated quasigroups are also deduced.

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Published

2021-04-08

How to Cite

Jaiyeola, T. G., Ilojide, E., & Popoola, B. A. . (2021). On The Isotopy Structure Of Elements Of The Group Pp(Zn). Journal of the Nigerian Mathematical Society, 32(1-3), 317–329. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/702

Issue

Vol. 32 No. 1-3 (2013): JNMS

Section

Articles

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