VUB Chair lecture- The order of the factors DOES CHANGE the product
School children are taught the commutativity property in the negative form of what is written in the title. For example 4x5=5x4=20.
This is valid for the standard multiplication of numbers but fails for many other kinds of product, such s as for example the product of matrices or the rotation of solids.
Actually, everybody knows that it is not the same to first put on a sock and then a shoe rather than than the other way around.
During this lecture Prof. Dr. Ángel del Río will show examples of non-commutative objects and explain some of the questions on this topic that mathematicians have not been able to solve yet.
The lecture is followed by a reception.
Professor Dr. Ángel del Río is full Professor at the University of Murcia, Spain. He's an expert in Group and Ring Theory and a top specialist in the unit group of group rings and orders. He has more than 75 publications in international magazines and he published 4 books.