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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 相似文献
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We involve a certain propositional logic based on an ortholattice. We characterize the implication reduct of such a logic
and show that its algebraic counterpart is the so-called orthosemilattice. Properties of congruences and congruence kernels
of these algebras are described.
This article was prepared under the support of Czech Government Council No. 314/98:153100011.
MS classification: 06C15, 03G25, 08A30 相似文献
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R. Derai S. Fenistein M. Gerard-Aïn T.R. Govers R. Marx G. Mauclaire C.Z. Profous C. Sourisseau 《Chemical physics》1979,44(1):65-71
The reaction of Ar+ with H2O has been investigated at near-thermal energy. The product ions H2O+ and ArH+ account for 90 and 10% of the total reaction rate, respectively. Kinetic energy measurements and emission spectroscopy of the H2O+ product ions are reported. It is concluded that at least 60% of H2O+ ions are in the X? state with ≈2.4 eV vibrational energy while up to 40% are in the à state with a mean vibrational energy of 1.4 eV; the à state vibrational distribution has been determined. It is shown that both H2O+ states are populated via an energetically “non-resonant” charge transfer process. 相似文献
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