CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Infinitary Baker–Pixley theorem
Autor/es:
VAGGIONE, DIEGO J.
Revista:
ALGEBRA UNIVERSALIS
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2018 vol. 79
ISSN:
0002-5240
Resumen:
An important theorem of Baker and Pixley states that if A is a finite algebra with a (d+ 1) -ary near-unanimity term and f is an n-ary operation on A such that every subalgebra of Ad is closed under f, then f is representable by a term in A. It is well known that the Baker?Pixley theorem does not hold when A is infinite. We give an infinitary version of the Baker?Pixley theorem which applies to an arbitrary class of structures with a (d+ 1) -ary near-unanimity term instead of a single finite algebra.
