Lattices of algebraic subsets and implicational classes

Kira Adaricheva, J. B. Nation

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)


In this section we consider one of the central constructions producing joinsemidistributive lattices, which turned out to be crucial in connecting many aspects of these lattices. The goal of this section is to present Sp(PowX), the lattice of algebraic subsets of the powerset lattice of some set X. We will need several definitions and lemmas on the way.

Original languageEnglish
Title of host publicationLattice Theory
Subtitle of host publicationSpecial Topics and Applications
PublisherSpringer International Publishing
Number of pages49
ISBN (Electronic)9783319442365
ISBN (Print)9783319442358
Publication statusPublished - Jan 1 2016


ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Adaricheva, K., & Nation, J. B. (2016). Lattices of algebraic subsets and implicational classes. In Lattice Theory: Special Topics and Applications (Vol. 2, pp. 103-151). Springer International Publishing.