Groupoids with minimal equational probabilistic spectrum are quasigroups apart from trivial cases, weak associativity conditions collapse to associativity, and semigroups with this spectrum are completely classified.
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On semigroups and groupoids with minimal probabilistic spectrum
Groupoids with minimal equational probabilistic spectrum are quasigroups apart from trivial cases, weak associativity conditions collapse to associativity, and semigroups with this spectrum are completely classified.