J. Aust. Math. Soc.
74 (2003), 393420

Transferring optimal dualities: theory and practice



M. Haviar
Department of Mathematics
M. Bel University
PdF, Ruzova 13
974 01 Banska Bystrica
Slovak Republic
haviar@pdf.umb.sk



Abstract

Consider the quasivariety
generated by a finite
algebra and
assume that yields a natural duality
on based
on which is optimal modulo
endomorphisms. We show
that, provided satisfies
certain minimality conditions, we can transfer this duality to a natural
duality on based on
, which is also
optimal modulo endomorphisms, for
any finite algebra in that has a subalgebra isomorphic to
.

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