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Author Adams, M. E.
Source CiteSeerX
Content type Text
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Minimal Extension ♦ Minimal Extension Distributive Bounded Lattice ♦ Maximal Sublattice ♦ Dwinger Abstract ♦ Dual Concept ♦ Considerable Literature ♦ Special Point ♦ Maximal Sublat-tices ♦ Spe-cial Point
Abstract Dedicated to the memory of Ph. Dwinger Abstract. There is a considerable literature on (proper) maximal sublat-tices of distributive bounded lattices. In this note, we consider the dual concept of when L ′ is a minimal extension of L, that is L is a (proper) maximal sublattice of L′. Minimal extensions occur in one of two ways, so-called removing a cover or splitting a point. The removal of covers is characterised and special points that can always be split are identified. For infinite L, there are at least L minimal extensions obtained by splitting spe-cial points, examples are given to show that there need be no other minimal extensions. 1.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article