Geodesic
On orthogonality of binary operations and squares
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2005), pp. 3-42

Voir la notice de l'article provenant de la source Math-Net.Ru

Orthogonality of a pair of binary groupoids, left quasigroups and quasigroups from some points of view is studied. Necessary and sufficient conditions of orthogonality of a finite quasigroup and any its parastrophe (conjugate quasigroup in other terminology), including ones in language of quasi-identities, are given. New concept of gisotopy, which generalizes the concept of isotopy, is defined. There is information on quasigroups with self-orthogonal conjugates. 
@article{BASM_2005_2_a0,
     author = {Gary L. Mullen and Victor A. Shcherbacov},
     title = {On orthogonality of  binary operations and squares},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {3--42},
     publisher = {mathdoc},
     number = {2},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2005_2_a0/}
}
TY  - JOUR
AU  - Gary L. Mullen
AU  - Victor A. Shcherbacov
TI  - On orthogonality of  binary operations and squares
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2005
SP  - 3
EP  - 42
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASM_2005_2_a0/
LA  - en
ID  - BASM_2005_2_a0
ER  - 
%0 Journal Article
%A Gary L. Mullen
%A Victor A. Shcherbacov
%T On orthogonality of  binary operations and squares
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2005
%P 3-42
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASM_2005_2_a0/
%G en
%F BASM_2005_2_a0
Gary L. Mullen; Victor A. Shcherbacov. On orthogonality of  binary operations and squares. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2005), pp. 3-42. http://geodesic.mathdoc.fr/item/BASM_2005_2_a0/