Partially ordered group
= Partially ordered group
{wiki=Partially_ordered_group}
A **partially ordered group** (POG) is an algebraic structure that combines the concepts of a group and a partial order. Formally, a group \\( G \\) is equipped with a binary operation (usually denoted as multiplication or addition) and satisfies the group properties—closure, associativity, existence of an identity element, and existence of inverses.