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I’m interested in (finite) binary relational structures (i.e. relational structures with only unary and binary relations) in which all binary relations are equivalence relations.

Is there a name for such relational structures? Do they have some characterisations?

Any reference would be much appreciated.

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    $\begingroup$ What kind of characterizations are you interested in? I doubt there's any clearer description than "binary relational structure in which all binary relations are equivalence relations". $\endgroup$ Jul 23, 2021 at 17:08
  • $\begingroup$ @AlexKruckman to be honest, I don't know what kind of characterization exactly I'm looking for. Perhaps, I would like to know if this class of relational structures was studied for some reason and what is known about it. $\endgroup$
    – Victor
    Jul 24, 2021 at 19:47
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    $\begingroup$ Well, one fact is that the theory of such a structure is always stable. $\endgroup$ Jul 24, 2021 at 21:20

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