Presenter: Joseph Van Name (Tampa)
Time and Place: 1:55 pm April 9, 2014 in 305 Little Hall
Title: Characterizing the category and elementary types of multiprimal varieties

Abstract: Multiprimal varieties are varieties whose algebras represent generalized reduced product constructions and generalized ultraproducts in particular. Every algebra in a multiprimal variety is a limit reduced product of certain basic algebras. Furthermore, the homomorphisms between algebras in multiprimal varieties can always be induced by mappings between the underlying machinery of the limit reduced products of these basic algebras. In this talk, I shall characterize up-to-equivalence the underlying category of a fixed multiprimal variety in terms of mappings between the underlying filters in the generalized reduced products. For the remainder of the talk, I shall give several characterizations of the elementary types of certain discriminator varieties and, as a special case, multiprimal varieties.