## Complete lattice generated by a partitioning of a lattice element

In this post I defined strong partitioning of an element of a complete lattice. For me it was seeming obvious

## Partitioning elements of distributive and finite lattices

I proposed this open problem for the next polymath project. Now I will consider some its special simple cases.

## Proposal: Partitioning a lattice element

I’ve given two different definitions for partitioning an element of a complete lattice (generalizing partitioning of a set). I called

## Partitioning of a lattice element: a conjecture

Let is a complete lattice. Let . I will call weak partitioning of a set such that . I will

## Formalistics of generalization

In the framework of ZF formally considered generalizations, such as whole numbers generalizing natural number, rational numbers generalizing whole numbers,

## Proposal: Conjecture about complementive filters

Earlier I proposed finishing writing this manuscript as a polymath project. But the manuscript contains (among other) this conjecture which

## Proposal: Filters on Posets and Generalizations

I propose to collaboratively finish writing my manuscript “Filters on Posets and Generalizations” which should become the exhaustive reference text

## Filters on Posets at Google Knol

I removed this Knol. The development of “Filters on Posets and Generalizations” happens on wikidot.com instead. I decided to put