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- Pseudocomplement abstract "In mathematics, particularly in order theory, a pseudocomplement is one generalization of the notion of complement. In a lattice L with bottom element 0, an element x ∈ L is said to have a pseudocomplement if there exists a greatest element x* ∈ L, disjoint from x, with the property that x ∧ x* = 0. More formally, x* = max{ y ∈ L | x ∧ y = 0 }. The lattice L itself is called a pseudocomplemented lattice if every element of L is pseudocomplemented. Every pseudocomplemented lattice is necessarily bounded, i.e. it has a 1 as well. Since the pseudocomplement is unique by definition (if it exists), a pseudocomplemented lattice can be endowed with a unary operation * mapping every element to its pseudocomplement; this structure is sometimes called a p-algebra. However this latter term may have other meanings in other areas of mathematics.".
- Pseudocomplement wikiPageID "43705090".
- Pseudocomplement wikiPageLength "3978".
- Pseudocomplement wikiPageOutDegree "23".
- Pseudocomplement wikiPageRevisionID "651351595".
- Pseudocomplement wikiPageWikiLink Boolean_algebra_(structure).
- Pseudocomplement wikiPageWikiLink Bounded_set.
- Pseudocomplement wikiPageWikiLink Category:Lattice_theory.
- Pseudocomplement wikiPageWikiLink Closure_operator.
- Pseudocomplement wikiPageWikiLink Complement_(set_theory).
- Pseudocomplement wikiPageWikiLink Complemented_lattice.
- Pseudocomplement wikiPageWikiLink Dense_set.
- Pseudocomplement wikiPageWikiLink Distributive_lattice.
- Pseudocomplement wikiPageWikiLink Filter_(mathematics).
- Pseudocomplement wikiPageWikiLink Greatest_element.
- Pseudocomplement wikiPageWikiLink Heyting_algebra.
- Pseudocomplement wikiPageWikiLink Interior_(topology).
- Pseudocomplement wikiPageWikiLink Lattice_(order).
- Pseudocomplement wikiPageWikiLink Mathematics.
- Pseudocomplement wikiPageWikiLink Monotonic_function.
- Pseudocomplement wikiPageWikiLink Order_theory.
- Pseudocomplement wikiPageWikiLink Semilattice.
- Pseudocomplement wikiPageWikiLink Stone_algebra.
- Pseudocomplement wikiPageWikiLink Topological_space.
- Pseudocomplement wikiPageWikiLink Variety_(universal_algebra).
- Pseudocomplement wikiPageWikiLinkText "Pseudocomplement".
- Pseudocomplement wikiPageWikiLinkText "pseudocomplement".
- Pseudocomplement wikiPageUsesTemplate Template:Cite_book.
- Pseudocomplement wikiPageUsesTemplate Template:Reflist.
- Pseudocomplement subject Category:Lattice_theory.
- Pseudocomplement hypernym Generalization.
- Pseudocomplement comment "In mathematics, particularly in order theory, a pseudocomplement is one generalization of the notion of complement. In a lattice L with bottom element 0, an element x ∈ L is said to have a pseudocomplement if there exists a greatest element x* ∈ L, disjoint from x, with the property that x ∧ x* = 0. More formally, x* = max{ y ∈ L | x ∧ y = 0 }. The lattice L itself is called a pseudocomplemented lattice if every element of L is pseudocomplemented.".
- Pseudocomplement label "Pseudocomplement".
- Pseudocomplement sameAs Q18345290.
- Pseudocomplement sameAs m.011snpf0.
- Pseudocomplement sameAs Q18345290.
- Pseudocomplement wasDerivedFrom Pseudocomplement?oldid=651351595.
- Pseudocomplement isPrimaryTopicOf Pseudocomplement.