Remarks on commutative Hilbert algebras

Radomír Halaš

Mathematica Bohemica (2002)

  • Volume: 127, Issue: 4, page 525-529
  • ISSN: 0862-7959

Abstract

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

How to cite

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Halaš, Radomír. "Remarks on commutative Hilbert algebras." Mathematica Bohemica 127.4 (2002): 525-529. <http://eudml.org/doc/249015>.

@article{Halaš2002,
abstract = {The paper shows that commutative Hilbert algebras introduced by Y. B. Jun are just J. C. Abbot’s implication algebras.},
author = {Halaš, Radomír},
journal = {Mathematica Bohemica},
keywords = {Hilbert algebra; implication algebra; Boolean algebra; Hilbert algebra; implication algebra; Boolean algebra},
language = {eng},
number = {4},
pages = {525-529},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remarks on commutative Hilbert algebras},
url = {http://eudml.org/doc/249015},
volume = {127},
year = {2002},
}

TY - JOUR
AU - Halaš, Radomír
TI - Remarks on commutative Hilbert algebras
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 4
SP - 525
EP - 529
AB - The paper shows that commutative Hilbert algebras introduced by Y. B. Jun are just J. C. Abbot’s implication algebras.
LA - eng
KW - Hilbert algebra; implication algebra; Boolean algebra; Hilbert algebra; implication algebra; Boolean algebra
UR - http://eudml.org/doc/249015
ER -

References

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  1. Semi-Boolean algebras, Matem. Vestnik 4 (1967), 177–198. (1967) 
  2. The lattice of deductive systems on Hilbert algebras, Southeast Asian Bull. Math (to appear). (to appear) Zbl1010.03054MR2046584
  3. Annihilators in Hilbert algebras, Mult.-Valued Log (to appear). (to appear) MR1957649
  4. Congruences and ideals in Hilbert algebras, Kyungpook Mathem. J. 39 (1999), 429–432. (1999) MR1728116
  5. Sur algébres de Hilbert, Collect. Logique Math. Ser. A 21 (1967), 177–198. (1967) 
  6. Commutative Hilbert algebras, Soochow J. Math. 22 (1996), 477–484. (1996) Zbl0864.03042MR1426553

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