semidistributive
Semidistributive is a property that can apply to algebraic structures, particularly in the context of binary operations. An operation denoted by '*' is semidistributive over another operation denoted by '•' if it satisfies certain relationships. Specifically, for any elements a, b, and c in the structure, the semidistributive law states that (a * b) • c = (a • c) * (b • c) or a • (b * c) = (a • b) * (a • c). Some authors may refer to the first as right semidistributive and the second as left semidistributive.
In lattice theory, the semidistributive property is a fundamental concept. A lattice is a partially ordered
The semidistributive property has implications for the structure of the lattice. For instance, in a semidistributive