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On autotopies and automorphisms of n-ary linear quasigroups

Show simple item record Marini, Alberto Shcherbacov, Victor 2015-10-29T08:51:07Z 2015-10-29T08:51:07Z 2004
dc.description.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. uk_UA
dc.language.iso en uk_UA
dc.publisher Луганский национальный университет им. Т. Шевченко uk_UA
dc.title On autotopies and automorphisms of n-ary linear quasigroups uk_UA
dc.type Article uk_UA

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    IV International Algebraic Conference in Ukraine. In this volume we complete to publish papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.

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