Skip to main content

Right Nuclei of Quasigroup Extensions

Buy Article:

$63.00 plus tax (Refund Policy)

Abstract:

The aim of this article is the study of right nuclei of quasigroups with right unit element. We investigate an extension process in this category of quasigroups, which is defined by a slight modification of non-associative Schreier-type extensions of groups or loops. The main results of the article give characterizations of quasigroup extensions satisfying particular nuclear conditions. We apply these results for constructions of right nuclear quasigroup extensions with right inverse property.

Keywords: 20N05; Extension of quasigroups; Quasigroup with right unit; Right nucleus

Document Type: Research Article

DOI: https://doi.org/10.1080/00927872.2011.575676

Affiliations: Institute of Mathematics,University of Debrecen, Debrecen, Hungary

Publication date: 2012-05-01

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more