1+1=2: applications to direct products of semigroups
16/12/2010 Quinta-feira, 16 de Dezembro de 2010, 15h30m, Sala C6.2.45, FCUL
Nik Ruskuc (School of Mathematics and Statistics, University of St. Andrews, UK)
Faculdade de Ciências da Universidade de Lisboa, Edifício C6, Piso 2
I will present two theorems concerning finiteness conditions of direct products of (infinite) semigroups. One is about finite generation, and the other about residual finiteness. In both the fact that 1+1 equals 2, and not, for example, 1, will apply a crucial role:-) I will discuss related topics, such as finite presentability, d-sequences, and some interesting open problems.
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