Remarks on commutative Hilbert algebras

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Remarks on commutative Hilbert algebras. (English). Mathematica Bohemica, vol. 127 (2002), issue 4, pp. 525-529

MSC: 03B60, 03G25 | MR 1942638 | Zbl 1008.03039 | DOI: 10.21136/MB.2002.133956

Keywords:
Hilbert algebra; implication algebra; Boolean algebra

Summary:
The paper shows that commutative Hilbert algebras introduced by Y. B. Jun are just J. C. Abbot’s implication algebras.

References:

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[3] Chajda I., Halaš R.: Annihilators in Hilbert algebras. Mult.-Valued Log (to appear). MR 1957649

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[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 1426553 | Zbl 0864.03042

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