Right Nuclei of Quasigroup Extensions

Péter T. Nagy, Izabella Stuhl

Research output: Contribution to journalArticle

5 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1893-1900
Number of pages8
JournalCommunications in Algebra
Volume40
Issue number5
DOIs
StatePublished - May 1 2012

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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