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Subdirectly irreducible distributive nearlattices. (English) Zbl 1120.06003

Summary: A nearlattice means a join-semilattice having the property that every principal filter (or a section) is a lattice with respect to a semilattice order. The aim of the paper is to characterize in a simple way subdirectly irreducible distributive nearlattices.

MSC:

06B05 Structure theory of lattices
06B25 Free lattices, projective lattices, word problems
06A12 Semilattices
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