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Ternary quasigroups and the modular group

Jonathan D. H. Smith (2008)

Commentationes Mathematicae Universitatis Carolinae

For a positive integer $n$ , the usual definitions of $n$ -quasigroups are rather complicated: either by combinatorial conditions that effectively amount to Latin $n$ -cubes, or by $2 n$ identities on $n + 1$ different $n$ -ary operations. In this paper, a more symmetrical approach to the specification of $n$ -quasigroups is considered. In particular, ternary quasigroups arise from actions of the modular group.

The construction of orthogonal k-skeins and latin k-cubes.

Trevor Evans (1976)

Aequationes mathematicae

Topološki analogon Hosu-Gluškinove teoreme

M. P. Žižović (1976)

Matematički Vesnik

Totally simple n-groupoids and n-quasigroups

П. Немец (1976)

Matematiceskie issledovanija

Displaying 1 – 4 of 4

Ternary quasigroups and the modular group

The construction of orthogonal k-skeins and latin k-cubes.

Topološki analogon Hosu-Gluškinove teoreme

Totally simple n-groupoids and n-quasigroups

Currently displaying 1 – 4 of 4