Are polynomial clones of Mal'cev algebras finitely related?
17/04/2009 Sexta-feira, 17 de Abril de 2009, 14h30, Anfiteatro
Peter Mayr
(Institut fuer Algebra, Johannes Kepler Univ. Linz, Austria)
The clone of polynomial functions on an algebra A is formed by all finitary functions on A which can be obtained by composing the operations of A, the constant functions, and the projections on A. For rings this defines exactly the classical polynomial functions. Algebras whose polynomial clones are equal, such as the Boolean algebra and its corresponding Boolean ring, are said to be polynomial equivalent.
|