Single identities forcing lattices to be Boolean
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Abstract 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.
1970 ◽
Vol 22
(4)
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pp. 881-891
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1962 ◽
Vol 5
(1)
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pp. 37-41
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1988 ◽
Vol 30
(2)
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pp. 137-143
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