Fork me on GitHub
Math for the people, by the people.

User login

lattice filter

filter, prime filter, ultrafilter, filter generated by, principal filter
ultra filter, ultra-filter, maximal filter
Type of Math Object: 
Major Section: 
Groups audience: 

Mathematics Subject Classification

06B10 no label found


I am not sure, but I think to define filter of lattices. One does assume that the Lattice has a least element. Although, I do not see why this is necessary.

What do you mean filter of lattices? Or do you mean filter of a lattice? Given a lattice or more generally a poset, a filter can be defined without the lattice (or poset) having a least element.

This is how Lambek has defined it in his book "Lectures on Rings and Modules" .. he had a special reason for doing so, but Im rather shaggy today .. Im sure though that the definition with least element became necessary later on in his book.

Subscribe to Comments for "lattice filter"