Atomic lattice
From HandWiki
This category corresponds roughly to MSC {{{id}}} {{{title}}}; see {{{id}}} at MathSciNet and {{{id}}} at zbMATH.
A lattice with a zero $0$ in which, for each non-zero element $a$, there exists an atom $p\leq a$, that is, $0 < p$ and $x < p \Rightarrow x=0$
A lattice is atomistic if it is atomic and every element is a join of some finite set of atoms.
Some authors use "atomic" to denote what is here defined as "atomistic".
 |  |
