Polynomial functions on subdirect products

Description

It is a classical result that the ring of unary polynomial functions on the direct product of commutative rings with identity is isomorphic to the direct product of the polynomial rings on the factors. When we generalize the concept of polynomial functions to arbitrary algebraic structures, this simple correspondence is no longer true. Clearly a polynomial function on an algebra A preserves all congruences and induces polynomial functions on all quotients of A. However, a congruence preserving function that induces polynomials on all subdirectly irreducible quotients is not necessarily polynomial. Still we can characterize the polynomial functions on certain direct and subdirect products of algebras with Mal’cev term or with majority term by their behaviour on the factors. This is joint work with Kalle Kaarli.

Period	03 May 2008
Event title	Workshop "Algebra and its applications", Viinistu
Event type	Conference
Location	EstoniaShow on map