
modular lattice
A modular lattice is a type of mathematical structure where elements are organized in a way that resembles a grid, with specific rules about how elements combine and relate. In this structure, for any three elements where one is between the other two, the way you combine or intersect them follows a consistent pattern, known as the modular law. This property ensures a balanced and flexible organization, common in areas like algebra and geometry, making it easier to analyze complex relationships while maintaining a structured hierarchy.