Gorenstein Latin squares

We introduce the notion of a Gorenstein Latin square and consider loops and quasigroups related to them. We study some properties of normalized Gorenstein Latin squares and describe all of them with order n≤8.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2008
Main Authors: Dokuchaev, M.A., Kirichenko, V.V., Novikov, B.V., Plakhotnyk, M.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/153369
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Gorenstein Latin squares / M.A. Dokuchaev, V.V. Kirichenko, B.V. Novikov, M.V. Plakhotnyk // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 23–39. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine