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The Lattice of Deductive Systems on Hilbert Algebras |
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| Authors: | |
| Institution: | (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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