b'@article{Sofronie1997b,'b'\nTITLE = {Duality and Canonical Extensions of Bounded Distributive Lattices with Operators and Applications to the Semantics of Non-Classical Logics. Part I},\nAUTHOR = {Sofronie-Stokkermans, Viorica},\nLANGUAGE = {eng},\nISSN = {0039-3215},\nLOCALID = {Local-ID: C1256104005ECAFC-C5B22D665572099A412566F6003DF8D1-Sofronie1997b},\nYEAR = {2000},\nDATE = {2000},\nABSTRACT = {The main goal of this paper is to explain the link between the algebraic and the Kripke-style models for certain classes of propositional logics. We start by presenting a Priestley-type duality for distributive lattices endowed with a general class of well-behaved operators. We then show that finitely-generated varieties of distributive lattices with operators are closed under canonical embedding algebras. The results are used in the second part of the paper to construct topological and non-topological Kripke-style models for logics that are sound and complete with respect to varieties of distributive lattices with operators in the above-mentioned classes.},\nJOURNAL = {Studia Logica},\nVOLUME = {64},\nNUMBER = {1},\nPAGES = {93--132},\n}\n'