Subalgebras of Heyting and De Morgan Heyting Algebras

Studia Logica 98 (1-2):123-139 (2011)
Abstract
In this paper we obtain characterizations of subalgebras of Heyting algebras and De Morgan Heyting algebras. In both cases we obtain these characterizations by defining certain equivalence relations on the Priestley-type topological representations of the corresponding algebras. As a particular case we derive the characterization of maximal subalgebras of Heyting algebras given by M. Adams for the finite case
Keywords Lattices  Heyting algebras  De Morgan Heyting algebras  subalgebras  Priestley spaces  Heyting relations
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