Definition:Complete Lattice/Definition 1
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Definition
Let $\struct {S, \preceq}$ be a lattice.
Then $\struct {S, \preceq}$ is a complete lattice if and only if:
Also see
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {III}$: The Natural Numbers: $\S 14$: Orderings
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): complete lattice
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): complete lattice