Some results are obtained for quasigroups in which the operation of iterated squaring always leads to stability irrespective of the initial element.
@article{116936, author = {Philip Holgate}, title = {Plenary stable quasigroups}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {32}, year = {1991}, pages = {1-7}, zbl = {0734.20032}, mrnumber = {1118283}, language = {en}, url = {http://dml.mathdoc.fr/item/116936} }
Holgate, Philip. Plenary stable quasigroups. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 1-7. http://gdmltest.u-ga.fr/item/116936/
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