Order, lattices, ordered algebraic structures Lattices: basic notions Concept
Prime ideal of a lattice
Summary
A prime ideal of a lattice is a proper ideal that contains one of or whenever it contains their meet . It is the lattice analogue of a prime ideal of a commutative ring, with the meet in the role of the product. The complement of a prime ideal is a prime filter. Prime ideals are the points of the spaces used to represent distributive lattices and Boolean algebras.
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| Tag | QKWVXJWHP6 |
|---|---|
| URI | m2://QKWVXJWHP6 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06B10, 06D05 |
| Specializes | Lattice ideal |
| Changed | 2 November 2026 |
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