👉 Semirustic is a type of semiring in which addition and multiplication operations are defined by means of binary relations. This concept is named after the term 'semiring', which is a generalization of a ring that allows for certain operations to be performed on elements without necessarily defining them as sets, thus providing more flexibility than just using set theory. In other words, semirustics have both the properties of a ring and those of a semiring. They are a type of mathematical structure