Distributive laws in residuated binars
Abstract
In residuated binars there are six non-obvious distributivity identities of ·,/, over , . We show that in residuated binars with distributive lattice reducts there are some dependencies among these identities; specifically, there are six pairs of identities that imply another one of these identities, and we provide counterexamples to show that no other dependencies exist among these.
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