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Abstract. We present two identities in two variables under which every lattice admitting a unary operation becomes a uniquely complemented distributive lattice. We show that the distributive law can be easily syntactically derived from these two identities.
DOI: 10.14232/actasm-016-514-2
AMS Subject Classification
(1991): 06C15, 06D05
Keyword(s):
lattice with complementation,
uniquely complemented lattice,
distributive lattice,
free lattice
Received March 9, 2016, and in final form June 19, 2016. (Registered under 14/2016.)
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