Algebra and discrete mathematics, no. 4 (2008), pp. 23-39
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M. A. Dokuchaev; V. V. Kirichenko; M. V. Plakhotnyk; B. V. Novikov. Gorenstein Latin squares. Algebra and discrete mathematics, no. 4 (2008), pp. 23-39. http://geodesic.mathdoc.fr/item/ADM_2008_4_a3/
@article{ADM_2008_4_a3,
author = {M. A. Dokuchaev and V. V. Kirichenko and M. V. Plakhotnyk and B. V. Novikov},
title = {Gorenstein {Latin} squares},
journal = {Algebra and discrete mathematics},
pages = {23--39},
year = {2008},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2008_4_a3/}
}
TY - JOUR
AU - M. A. Dokuchaev
AU - V. V. Kirichenko
AU - M. V. Plakhotnyk
AU - B. V. Novikov
TI - Gorenstein Latin squares
JO - Algebra and discrete mathematics
PY - 2008
SP - 23
EP - 39
IS - 4
UR - http://geodesic.mathdoc.fr/item/ADM_2008_4_a3/
LA - en
ID - ADM_2008_4_a3
ER -
%0 Journal Article
%A M. A. Dokuchaev
%A V. V. Kirichenko
%A M. V. Plakhotnyk
%A B. V. Novikov
%T Gorenstein Latin squares
%J Algebra and discrete mathematics
%D 2008
%P 23-39
%N 4
%U http://geodesic.mathdoc.fr/item/ADM_2008_4_a3/
%G en
%F ADM_2008_4_a3
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 $n\leq 8$.
