Pseudocomplemented and Stone posets. (English) Zbl 1302.06001

Summary: We show that every pseudocomplemented poset can be equivalently expressed as a certain algebra where the operation of pseudocomplementation can be characterized by means of remaining two operations which are binary and nullary. Similar characterization is presented for Stone posets.


06A06 Partial orders, general
06A11 Algebraic aspects of posets
06D15 Pseudocomplemented lattices
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