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 \(n\leq 8\).

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Bibliographische Detailangaben
Datum:2018
Hauptverfasser: Dokuchaev, M. A., Kirichenko, V. V., Novikov, B. V., Plakhotnyk, M. V.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
Schlagworte:
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/825
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Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics
Beschreibung
Zusammenfassung: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 \(n\leq 8\).