We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.

Recently, several authors extended Priestley duality for distributive lattices [9] to other classes of algebras, such as, e.g. distributive lattices with operators [7], MV -algebras [8], MTL and IMTL algebras [2]. In [5] necessary and sufficient conditions for a normally presented variety to be naturally dualizable, in the sense of [6], i.e. with respect to a discrete topology, have been provid...

The normal, or Dedekind-MacNeille, completion δ(L) of a distributive lattice L need not be distributive. However, δ(L) does contain a largest distributive sublattice β(L) containing L, and δ(L) is distributive if and only if β(L) is complete if and only if δ(L) = β(L). In light of these facts, it may come as a surprise to learn that β(L) was developed (in [1]) for reasons having nothing to do w...

Conventional approaches to cost benefit analysis, derived from social welfare maximization, suggest that it should ideally be adjusted to account for distributional effects. These approaches do not consider how tasks should be assigned within a large institution that includes specialized units such as the numerous agencies in the federal government. This paper considers how optimal distributive...

We provide implementation details for non-associative key establishment protocols. In particular, we describe the implementation of non-associative key establishment protocols for all left self-distributive and all mutually left distributive systems.

As is understood by governmental ethics, governors should distribute possibilities and economical and social opportunities among citizens according to distributive justice. In this paper, the author, surveying and criticizing the views in the field, has shown that the type of work, need and public equality taken as norms in the views, may be counted as the ways for recognizing personal rights n...

In this paper all subdirectly irreducible pseudocomplemented distributive lattices are found. This result is used to establish a Stone-like representation theorem conjectured by G. Grätzer and to find all equational subclasses of the class of pseudocomplemented distributive lattices.

Some of the best philosophers do not hold academic appointments in philosophy departments. Wouldn't you rather have the ghost of Frank Ramsey (the Cambridge mathematician who died in the 1920s) as a hall mate instead of some of your current colleagues? Confining our attention to the living, we find some economists among the more philosophically inclined intellectuals. The best of these fellow t...