M Jenner
Department of Mathemetics and Applied Mathematics, University of Cape Town, 7701, Rondebosch, South Africa.
P Jipsen
Department of Mathemetics and Applied Mathematics, University of Cape Town, 7701, Rondebosch, South Africa.
P Ouwehand
Department of Mathemetics and Applied Mathematics, University of Cape Town, 7701, Rondebosch, South Africa.
H Rose
Department of Mathemetics and Applied Mathematics, University of Cape Town, 7701, Rondebosch, South Africa.
Abstract
We show that in finitely generated congruence distributive
varieties every absolute retract is a product of reduced powers of maximal
subdirectly irreducibles.
Mathematics Subject Classification (1991): 08B15, 08B25
Keywords: absolute retracts, reduced products, maximal irreducibles,
lattices of varieties, products,amalgamated products,and other kinds of limits
and colimits, distributive, product
Quaestiones Mathematicae 24(2) 2001, 129-132