Category:Lattice theory

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search
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.
teoria dei reticoli (it); théorie des treillis (fr); теория решеток (ru); Verbandstheorie (de); teoria de reticulados (pt); lattice theory (en); latisa teorio (eo); hálóelmélet (hu); teoria de reticles (ca) раздел алгебры, в котором изучаются частично упорядоченные множества (ru); branch of mathematics that studies lattices (en); branche des mathématiques (fr); área da matemática que estuda reticulados (pt)
lattice theory 
branch of mathematics that studies lattices
Upload media
Instance ofarea of mathematics
Subclass ofalgebra
Authority control
Edit infobox data on Wikidata


This category has the following 9 subcategories, out of 9 total.




Pages in category "Lattice theory"

This category contains only the following page.

Media in category "Lattice theory"

The following 84 files are in this category, out of 84 total.