Definition: In mathematics, an "upraise" is a type of function defined over a ring R and consisting of all elements in R that satisfy the following property: For any element x in R, there exists at least one element y in R such that xy = x. This concept is often used to model situations where one has access to some information about another entity or object, but does not have direct knowledge about it. In this context, an "upraise" could represent a situation where the information