Geodesic
On systems of congruences on principal filters of orthomodular implication algebras
Mathematica Bohemica, Tome 132 (2007) no. 4, pp. 423-435.

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Orthomodular implication algebras (with or without compatibility condition) are a natural generalization of Abbott’s implication algebras, an implication reduct of the classical propositional logic. In the paper deductive systems (= congruence kernels) of such algebras are described by means of their restrictions to principal filters having the structure of orthomodular lattices.
DOI : 10.21136/MB.2007.133966
Classification : 03B60, 03G25, 06B10, 06C15
Keywords: orthoimplication algebra; orthomodular lattice; $p$-filter 
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Halaš, Radomír; Plojhar, Luboš. On systems of congruences on principal filters of orthomodular implication algebras. Mathematica Bohemica, Tome 132 (2007) no. 4, pp. 423-435. doi : 10.21136/MB.2007.133966. http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.133966/

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