Category:Dual Orderings
Jump to navigation
Jump to search
This category contains results about Dual Orderings.
Definitions specific to this category can be found in Definitions/Dual Orderings.
Let $\struct {S, \preceq}$ be an ordered set.
Let $\succeq$ be the inverse relation to $\preceq$.
That is, for all $a, b \in S$:
- $a \succeq b$ if and only if $b \preceq a$
Then $\succeq$ is called the dual ordering of $\preceq$.
Pages in category "Dual Orderings"
The following 22 pages are in this category, out of 22 total.
D
- Directed iff Filtered in Dual Ordered Set
- Dual Distributive Lattice is Distributive
- Dual of Dual Ordering
- Dual of Lattice Ordering is Lattice Ordering
- Dual of Order Type is Well-Defined Mapping
- Dual of Ordered Semigroup is Ordered Semigroup
- Dual of Preordered Set is Preordered Set
- Dual of Total Ordering is Total Ordering
- Dual of Well-Ordering is not necessarily Well-Ordering
- Dual Ordered Set is Ordered Set
- Dual Ordering is Ordering
- Duals of Isomorphic Ordered Sets are Isomorphic