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On the number of conjugates of a quasigroup

✍ Scribed by Charles C. Lindner; Dwight Steedley

Book ID: 112760429
Publisher: Springer
Year: 1975
Tongue: English
Weight: 277 KB
Volume: 5
Category: Article
ISSN: 0002-5240
DOI: 10.1007/bf02485252

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## Abstract A ternary quasigroup (or 3‐quasigroup) is a pair (__N, q__) where __N__ is an __n__‐set and __q__(__x, y, z__) is a ternary operation on __N__ with unique solvability. A 3‐quasigroup is called 2‐idempotent if it satisfies the generalized idempotent law: __q__(__x, x, y__) = __q__(__x, y