Higher polynomial identities for mutations of associative algebras

We study polynomial identities satisfied by the mutation product $xpy - yqx$ on the underlying vector space of an associative algebra $A$ where $p, q$ are fixed elements of $A$. We simplify known results for identities in degree $n \le 4$, determine three new identities in degree 5, and demonstrate the existence of a large number of new identities in degree 6.Comment: 13 page

Development of a Decision Making Algorithm for Traffic Jams Reduction Applied to Intelligent Transportation Systems

This paper is aimed at developing a decision making algorithm for traffic jams reduction that can be applied to Intelligent Transportation Systems. To do so, these algorithms must address two main challenges that arise in this context. On one hand, there are uncertainties in the data received from sensor networks produced by incomplete information or because the information loses some of the precision during information processing and display. On the other hand, there is the variability of the context in which these types of systems are operating. More specifically, Analytic Hierarchy Process (AHP) algorithm has been adapted to ITS, taking into account the mentioned challenges. After explaining the proposed decision making method, it is validated in a specific scenario: a smart traffic management system