On lattices embeddable into lattices of algebraic subsets |
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Authors: | Marina Semenova |
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Affiliation: | 1. Sobolev Institute of Mathematics of the Siberian Branch of Russian Academy of Sciences, Acad. Koptyug prosp. 4, 630090, Novosibirsk, Russia
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Abstract: | We prove that, for a Scott-continuous lattice L, the lattice Sp(L) of algebraic subsets of L has a meet-complete lattice embedding into the lattice of algebraic subsets of a bi-algebraic distributive lattice. |
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