Geodesic
Remarks on commutative Hilbert algebras
Mathematica Bohemica, Tome 127 (2002) no. 4, pp. 525-529

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MR Zbl
The paper shows that commutative Hilbert algebras introduced by Y. B. Jun are just J. C. Abbot’s implication algebras.
The paper shows that commutative Hilbert algebras introduced by Y. B. Jun are just J. C. Abbot’s implication algebras.
DOI : 10.21136/MB.2002.133956
Classification : 03B60, 03G25
Keywords: Hilbert algebra; implication algebra; Boolean algebra 
Halaš, Radomír. Remarks on commutative Hilbert algebras. Mathematica Bohemica, Tome 127 (2002) no. 4, pp. 525-529. doi: 10.21136/MB.2002.133956
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[1] Abott J. C.: Semi-Boolean algebras. Matem. Vestnik 4 (1967), 177–198.

[2] Chajda I.: The lattice of deductive systems on Hilbert algebras. Southeast Asian Bull. Math (to appear). | MR | Zbl

[3] Chajda I., Halaš R.: Annihilators in Hilbert algebras. Mult.-Valued Log (to appear). | MR

[4] Chajda I., Halaš R.: Congruences and ideals in Hilbert algebras. Kyungpook Mathem. J. 39 (1999), 429–432. | MR

[5] Diego A.: Sur algébres de Hilbert. Collect. Logique Math. Ser. A 21 (1967), 177–198.

[6] Jun Y. B.: Commutative Hilbert algebras. Soochow J. Math. 22 (1996), 477–484. | MR | Zbl

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