Right Nuclei of Quasigroup Extensions

$61.20 plus tax (Refund Policy)

Buy Article:

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: http://dx.doi.org/10.1080/00927872.2011.575676

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

Publication date: May 1, 2012

Related content

Share Content

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
X
Cookie Policy
ingentaconnect 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