Lattice Theory

Lattice theory is a branch of mathematics that studies the organization of elements into a structure called a lattice. In simple terms, a lattice is a collection of points (or elements) ordered in a way that for any two elements, there is a unique "least upper bound" (the smallest element above them) and a "greatest lower bound" (the largest element below them). This framework helps in understanding relationships and operations in various mathematical contexts, such as algebra, geometry, and computer science. Lattices are useful for modeling and solving problems involving hierarchy and decision-making.