Chajda, I., Länger, H., & Padmanabhan, R. (2018). Single identities forcing lattices to be Boolean. Mathematica Slovaca, 68(4), 713–716. https://doi.org/10.1515/ms-2017-0138
In this note we characterize Boolean algebras among lattices of type (2, 2, 1) with join, meet and an additional unary operation by means of single two-variable respectively three-variable identities. In particular, any uniquely complemented lattice satisfying any one of these equational constraints is distributive and hence a Boolean algebra.
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