UFS-groupoids admit a universal Fibonacci sequence whose suffixes cover all Fibonacci sequences in the structure; they are classified by cardinality and periodicity, with finite cases via de Bruijn sequences and explicit constructions for all cases.
Para-associativegroupoids.Quasigroups and Related Systems, 24(2):187–194
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Universal Fibonacci sequences and UFS-groupoids
UFS-groupoids admit a universal Fibonacci sequence whose suffixes cover all Fibonacci sequences in the structure; they are classified by cardinality and periodicity, with finite cases via de Bruijn sequences and explicit constructions for all cases.