Date(s) - 8 Apr 2011
9:00 AM - 10:00 AM
Auditório do CCET-UFRN
Speaker: Eduardo S. Palmeira (Doutorando PPgSC)
Abstract: In general, the task of extending functions is not simple. It is necessary, in most cases, to impose some properties to the function and their domain. As, in particular, t-subnorms (t-subconorms) are functions, it is pertinent to question under what conditions a t-subnorm (t-subconorm) can be extended from a sublattice M to a lattice L. We present an answer to this question considering a more relaxed definition of sublattices, defined using retractions where the sublattice is not necessarily a subset. In addition, we prove some results related to these extensions with relevant concepts, such as De Morgan triples and automorphisms.