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2-perfect m-cycle systems

✍ Scribed by C.C. Lindner; C.A. Rodger

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
530 KB
Volume
104
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

On equationally defining m-perfect 2m +
On equationally defining m-perfect 2m + 1 cycle systems
✍ C. C. Lindner; C. A. Rodger πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 434 KB

In this article we give a complete solution to the problem of equationally defining m-perfect (2m + 1)-cycle systems and of equationally defining rn-perfect directed (2m + 1)-cycle systems.

Perfect 7-cycle systems
Perfect 7-cycle systems
✍ Enzo Maria Li Marzi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 93 KB

Perfect m-cycle systems are deΓΏned. In this paper, it is proven that the class of perfect 7-cycle systems is a variety of quasigroups, and a deΓΏning set of identities for this variety is given.

Strongly 2-perfect cycle systems and the
Strongly 2-perfect cycle systems and their quasigroups
✍ Darryn E. Bryant; Sheila Oates-Williams πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 346 KB

A recent result of Bryant and Lindner shows that the quasigroups arising from 2-perfect m-cycle systems form a variety only when m = 3, 5 and 7. Here we investigate the situation in the case where the distance two cycles are required to be in the original system.