2-perfect directed m-cycle systems can be equationally defined for m=3,4, and 5 only

Bryant, DE and Lindner, CC (1996) 2-perfect directed m-cycle systems can be equationally defined for m=3,4, and 5 only. Journal of Statistical Planning And Inference, 56 1: 57-63. doi:10.1016/S0378-3758(96)00009-2


Author Bryant, DE
Lindner, CC
Title 2-perfect directed m-cycle systems can be equationally defined for m=3,4, and 5 only
Journal name Journal of Statistical Planning And Inference   Check publisher's open access policy
ISSN 0378-3758
Publication date 1996-01-01
Sub-type Article (original research)
DOI 10.1016/S0378-3758(96)00009-2
Volume 56
Issue 1
Start page 57
End page 63
Total pages 7
Language eng
Abstract It is shown that quasigroups constructed using the standard construction from 2-perfect directed m-cycle systems are precisely the finite members of a variety if and only if m=3, 4 or 5.
Keyword Statistics & Probability
M-cycle Systems
Quasigroups
Varieties
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Created: Tue, 14 Aug 2007, 02:34:37 EST