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Invertibility criterion of composition of two multiary quasigroups

Fedir M. Sokhatsky, Iryna V. Fryz (2012)

Commentationes Mathematicae Universitatis Carolinae

We study invertibility of operations that are composition of two operations of arbitrary arities. We find the criterion for quasigroups and specifications for $T$ -quasigroups. For this purpose we introduce notions of perpendicularity of operations and hypercubes. They differ from the previously introduced notions of orthogonality of operations and hypercubes [Belyavskaya G., Mullen G.L.: Orthogonal hypercubes and $n$ -ary operations, Quasigroups Related Systems 13 (2005), no. 1, 73–86]. We establish...

i-perfect m-cycle systems, m...19.

Peter Adams, Darryn E. Bryant (1997)

Aequationes mathematicae

Irreduzible Polynome als kombinatorische Figuren.

M. Jeger (1973)

Elemente der Mathematik

Isohedral tilings of the plane by polygons.

Branko Grünbaum, G.C. Sehphard (1978)

Commentarii mathematici Helvetici

Isols and balanced block designs with $λ = 1$

J. C. E. Dekker (1983)

Compositio Mathematica

Isonemality and mononemality of woven fabrics

Bohdan Zelinka (1983)

Aplikace matematiky

The paper studies the diagrams of woven fabrics consisting of white and black squares as geometrical objects and described their symmetries. The concepts of isonemality and mononemality due to B. Grünbaum and G. C. Shephard are used. A conjecture of these authors is proved in a particular case.

Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.

Peretz, Ronen (2002)

ELA. The Electronic Journal of Linear Algebra [electronic only]