Outrageously Funny Word Dictionary :: Posset

👉 In mathematics, a poset (or partially ordered set) is a collection of elements that can be well-ordered. This means that for each two elements x and y in the poset there exists an element z such that x ≤ z ≤ y. In other words, the ordering is compatible with the relation of being less than or greater than. A poset can be used to define a partial order on a set X. The posets studied are the most fundamental examples of partially ordered sets

possets

👉 The term "posset" in the context of set theory and lattice theory has a specific meaning. In these areas, it refers to a property that is preserved under arbitrary unions and intersections (also known as joins) of sets. In set theory: 1. A poset is a binary relation on a set S which satisfies two properties: -

Commutative Property

: For all x, y in S, the relation is transitive: if xRy and yRx then x

posset