# semimodular lattice

## Primary tabs

Synonym:
upper semimodular lattice, lower semimodular lattice
Type of Math Object:
Definition
Major Section:
Reference
Groups audience:

## Mathematics Subject Classification

### where is notation defined?

I can't seem to find a definition of the notation <:
Does this mean 'covers'
Where is this?
-Mike

### Re: where is notation defined?

Yes, it means "covers".

My apologies if this was unclear, but I mostly
wrote down a quick definition of semimodular
lattice so that I could refer to it in a correction
posted to "incidence geometry". This may well
have been an end left loose in it.

I have (off-line) a half-finished entry
which defines this (and much other notation
for relations), which I have intended to
complete for a couple of weeks now, but I have
gotten sidetracked by work.