Right Nuclei of Quasigroup Extensions

Péter T. Nagy; Izabella Stuhl

doi:10.1080/00927872.2011.575676

Right Nuclei of Quasigroup Extensions

Péter T. Nagy, Izabella Stuhl

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1893-1900
Number of pages	8
Journal	Communications in Algebra
Volume	40
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2011.575676
State	Published - May 2012

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927872.2011.575676

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author = "Nagy, {P{\'e}ter T.} and Izabella Stuhl",

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Right Nuclei of Quasigroup Extensions

Abstract

All Science Journal Classification (ASJC) codes

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