A natural characterization of semilattices of rectangular bands and groups of exponent 2
14/03/2014 Sexta-feira, 14 de Março de 2014, 15h30m, Sala B2-01
João Pedro Araújo (Colégio Planalto - IB School)
Instituto para a Investigação Interdisciplinar da Universidade de Lisboa
In a recent paper, R. A. R. Monzo characterized semilattices of rectangular bands and groups of exponent 2. However, his characterization does not seem to point directly to the properties of rectangular bands and groups of exponent 2 (namely, idempotency and commutativity). In this talk I am going to show a natural
characterization of these semigroups. This research was carried out under the supervision of Professor Michael Kinyon from Denver University.