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Absolute Retracts as Reduced Products


M Jenner
P Jipsen
P Ouwehand
H Rose

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

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eISSN: 1727-933X
print ISSN: 1607-3606