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The Lattice of Deductive Systems on Hilbert Algebras
Authors:Ivan?Chajda  author-information"  >  author-information__contact u-icon-before"  >  mailto:CHAJDA@RISC.UPOL.CZ"   title="  CHAJDA@RISC.UPOL.CZ"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 779 00, Olomouc, Czech republic
Abstract:The concept of deductive system on a Hilbert algebra was introduced by A. Diego. We show that the set Ded A of all deductive systems on a Hilbert algebra A forms an algebraic lattice which is distributive.AMS Classification (2000): 06F35, 03G25, 08A30
Keywords:Hilbert algebra  deductive systemy  ideal  algebraic lattice  congruence lattice
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