ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXV, 1 (2006)
p. 127 - 136
Free systems of algebras and ultraclosed classes
R. Thron and J. Koppitz
Abstract.
There is considered the concept of the so-called
free system of algebras for an ultraclosed class of algebras of
a fixed arithmetic type. Certain free systems
exist for such a class if and only if
the class is defined by finite disjunctions of identities
where the operational symbols are interpreted as operational
variables for fundamental operations of an algebra.
Keywords:
Free algebras, ultraclosed classes, hyperidentities.
AMS Subject classification: Primary 08B05, 08B20.
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