The Ramsey and the Ordering Property for Classes of Lattices and Semilattices
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DOI: 10.1007/s11083-018-9478-z
Abstract: The class of finite distributive lattices, as many other classes of structures, does not have the Ramsey property. It is quite common, though, that after expanding the structures with appropriately chosen linear orders the resulting… read more here.
Keywords: ordering property; class finite; class; distributive lattices ... See more keywords
A class of sub-almost distributive lattices in an associate almost distributive lattice through a filter
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DOI: 10.1142/s1793557120501363
Abstract: In this paper, we introduce a class of sub-almost distributive lattices in an associate almost distributive lattice through a filter. We obtain several algebraic properties on the class of sub-almost distributive lattices and prove that… read more here.
Keywords: distributive lattices; sub almost; almost distributive; class sub ... See more keywords
Transitive and Absorbent Filters of Implicative Almost Distributive Lattices
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DOI: 10.12962/j24775401.v4i2.3597
Abstract: In this paper, we introduce the concept of transitive and absorbent filters of implicative almost distributive lattices and studied their properties. A necessary and sufficient condition is derived for every filter to become a transitive… read more here.
Keywords: implicative almost; absorbent filters; transitive absorbent; distributive lattices ... See more keywords