We study Morita invariants for strongly Morita equivalent partially ordered semigroups with several types of local units. These include the greatest commutative images, satisfying a given inequality and the fact that strong Morita equivalence preserves various sublattices of the lattice of ideals.

We consider the problem of devising incentive strategies for viral marketing of a product. In particular, we assume that the seller can influence penetration of the product by offering two incentive programs: a) direct incentives to potential buyers (influence) and b) referral rewards for customers who influence potential buyers to make the purchase (exploit connections). The problem is to dete...

1 Avda. de la Universidad, 30. Computer Science and Engineering Department. University Carlos III of Madrid, 28911 Leganés, Spain [email protected] 2 Avda. de la Universidad, 30. Computer Science and Engineering Department. University Carlos III of Madrid, 28911 Leganés, Spain [email protected] 3 Avda. de la Universidad, 30. Computer Science and Engineering Department. University Carlos I...

In this paper we develop a unifying approach for computing the distance to uncontrollability of linear control systems. By using multi-valued linear operators in representing and estimating the system's equations and matrices we are able to derive computable formulas of the distance from a controllable linear system to the nearest uncontrollable system under the assumption that the system's mat...

The importance of diversity in reasoning and learning to successfully address complex problems is examined. We discuss an approach by which a multiagent framework with decentralized control mechanisms provides diverse perspectives and hypotheses addressing a class of complex problems. We introduce the SNARE multiagent system. SNARE performs tasks to gain situational awareness of situations of i...

We prove some Schauder type estimates and an invariant Harnack inequality for a class of degenerate evolution operators of Kolmogorov type. We also prove a Gaussian lower bound for the fundamental solution of the operator and a uniqueness result for the Cauchy problem. The proof of the lower bound is obtained by solving a suitable optimal control problem and using the invariant Harnack inequality.

BACKGROUND Emotional intelligence (EI) is a measure of pure intelligence of cognitive ability that translates psychological knowledge into terms that are useable by people not professionally trained in psychology, like dentists. MATERIALS AND METHODS A cross-sectional, self-administered, structured questionnaire survey in English was distributed among 186 undergraduate students to assess thei...

Suppose individuals get utilities from the total amount of wealth they hold and from their wealth relative to those immediately below them. This paper studies the distribution of wealth that maximizes an additive welfare function made up of these utilities. It interprets wealth distribution in a control theory framework to show that the welfare maximizing distribution may have unexpected proper...

The study of the influence of the Green Information Technology (GIT), using their potential to reduce the negative impact of the exhaust emission produced by light-duty vehicles, attending verification compliance to circulate in urban areas, is the main topic of the present contribution. Data collected through surveys answered by car owners in Mexico City, place the attention over the knowledge...