Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/109
Title: | On autotopies and automorphisms of n-ary linear quasigroups |
Authors: | Marini, Alberto Shcherbacov, Victor |
Issue Date: | 2004 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
Abstract: | In this article we study structure of autotopies, automorphisms, autotopy groups and automorphism groups of n- ary linear quasigroups. We find a connection between automorphism groups of some special kinds of n-ary quasigroups (idempotent quasigroups, loops) and some isotopes of these quasigroups. In binary case we find more detailed connections between automorphism group of a loop and automorphism group of some its isotope. We prove that every finite medial n-ary quasigroup of order greater than 2 has a non- identity automorphism group. We apply obtained results to give some information on auto- morphism groups of n-ary quasigroups that correspond to the ISSN code, the EAN code and the UPC code. |
URI: | http://hdl.handle.net/123456789/109 |
Appears in Collections: | Статті |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
adm-n2-7.pdf | 271.64 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.