We provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into convex bornological space using separately polynomial identities Kusraeva involving the root mean power and geometric mean. Furthermore, it is shown that on whenever positive cone. These results improve recent by G. Buskes author.

In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...

Kittur, Hummel and Holyoak (2004) showed that people have great difficulty learning relation-based categories with a probabilistic (i.e., family resemblance) structure. We investigated three interventions hypothesized to facilitate learning family-resemblance based relational categories: Naming the relevant relations, providing a hint to look for a family resemblance structure, and changing the...