Definition:Bounded Lattice/Notation
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Notation for Greatest and Smallest Elements
The greatest element and smallest element of a bounded lattice are denoted on $\mathsf{Pr} \infty \mathsf{fWiki}$ by $\top$ and $\bot$ respectively.
Some sources use $1$ for the greatest element and $0$ for the smallest element.
Sources
- 1967: Saunders Mac Lane and Garrett Birkhoff: Algebra: Chapter XIV Lattices : $\S 1$ Posets: Duality Principle
- 1971: George A. Grätzer: Lattice Theory: Chapter $1$: First Concepts, $\S 6$: Special Elements
- 1982: Peter T. Johnstone: Stone Spaces: Chapter $\text I$: Preliminaries, Definition $1.2$ and $1.4$