Category:Lattice theory

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English: In mathematics, a lattice is a partially ordered set (also called a poset) in which any two elements have a unique supremum (the elements' least upper bound; called their join) and an infimum (greatest lower bound; called their meet). Lattices can also be characterized as algebraic structures satisfying certain axiomatic identities. Since the two definitions are equivalent, lattice theory draws on both order theory and universal algebra. Semilattices include lattices, which in turn include Heyting and Boolean algebras. These "lattice-like" structures all admit order-theoretic as well as algebraic descriptions.
lattice theory 
branch of mathematics that studies lattices
Subclass of mathematics
Has part
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hálóelmélet (hu); lattice theory (en); latisa teorio (eo); théorie des treillis (fr); Verbandstheorie (de) branch of mathematics that studies lattices (en); branche des mathématiques (fr)


This category has the following 8 subcategories, out of 8 total.




Pages in category "Lattice theory"

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