Category:Atoms of Lattices
Jump to navigation
Jump to search
This category contains results about Atoms of Lattices.
Definitions specific to this category can be found in Definitions/Atoms of Lattices.
Let $\struct {S, \vee, \wedge, \preceq}$ be a lattice.
An atom of $\struct {S, \vee, \wedge, \preceq}$ is an element $A \in S$ such that:
- $\forall B \in S: B \preceq A, B \ne A \implies B = \bot$
- $A \ne \bot$
where $\bot$ denotes the bottom of $\struct {S, \vee, \wedge, \preceq}$.
Subcategories
This category has only the following subcategory.