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Additional
lattice (order)
English Wikipedia - The Free Encyclopedia
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Lattice (order)
In
mathematics
, a
lattice
is one of the fundamental
algebraic structures
used in
abstract algebra
. It consists of a
partially ordered set
in which every two elements have a unique
supremum
(also called a least upper bound or
join
) and a unique
infimum
(also called a greatest lower bound or
meet
). An example is given by the
natural numbers
, partially ordered by
divisibility
, for which the unique supremum is the
least common multiple
and the unique infimum is the
greatest common divisor
.
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