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Varieties of demi-pseudocomplemented lattices. (English) Zbl 0769.06007
The authors present a solution to the problem of desribing the structure of the lattice of subvarieties of the variety of demi \(p\)-lattices, and in particular of almost \(p\)-lattices. The main purpose is to present an infinite poset \(P_ 0\) whose Hasse diagram is completely described by the following property: The lattice of subvarieties of the variety of demi-\(p\)-lattices is isomorphic to the lattice of order ideals of \(P_ 0\).

MSC:
06D15 Pseudocomplemented lattices
06B20 Varieties of lattices
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