Term equivalence of semigroups
29/05/2014 Quinta-feira, 29 de Maio de 2014, 14h, Sala A2-25
Peter Mayr (Kepler University of Linz)
Institute for Interdisciplinary Research - University of Lisbon
A term operation of a semigroup is an operation that is induced from a term (a semigroup word). Two semigroups are term equivalent if they have the same elements and the same term operations. For example, every semigroup $(S,\cdot)$ is term equivalent to its opposite $(S,*)$ where $x*y := yx$.
We will discuss some non trivial instances of term equivalence and open problems in this area.
This is joint work with Oleg Kosik (Tartu, Estonia).