Algebraic properties of pre-logics

Ivan Chajda; Radomír Halaš

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 2, page 157-175
  • ISSN: 0232-0525

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Chajda, Ivan, and Halaš, Radomír. "Algebraic properties of pre-logics." Mathematica Slovaca 52.2 (2002): 157-175. <http://eudml.org/doc/31570>.

@article{Chajda2002,
author = {Chajda, Ivan, Halaš, Radomír},
journal = {Mathematica Slovaca},
keywords = {pre-logic; Hilbert algebra; implication; intuitionistic logic; deductive system; ideal; congruence kernel},
language = {eng},
number = {2},
pages = {157-175},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Algebraic properties of pre-logics},
url = {http://eudml.org/doc/31570},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Chajda, Ivan
AU - Halaš, Radomír
TI - Algebraic properties of pre-logics
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 2
SP - 157
EP - 175
LA - eng
KW - pre-logic; Hilbert algebra; implication; intuitionistic logic; deductive system; ideal; congruence kernel
UR - http://eudml.org/doc/31570
ER -

References

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  1. ABOTT J. C., Semi-boolean algebras, Mat. Vesnik 4 (1967), 177-198. (1967) MR0239957
  2. CHAJDA I., Semi-implication algebra, Tatra Mt. Math. Publ. 5 (1995), 13-24. (1995) Zbl0856.08004MR1384790
  3. CHAJDA I., The lattice of deductive systems on Hilbert algebras, Southeast Asian Bull. Math. (To appear). Zbl1010.03054MR2046584
  4. CHAJDA I., HALAŠ R., Congruences and ideals in Hilbert algebras, Kyungpook Math. J. 39 (1999), 429-432. (1999) Zbl0954.08002MR1728116
  5. CHAJDA I., HALAŠ R., Stabilizers in Hilbert algebras, Multiple Valued Logic (To appear). Zbl1024.03065MR1957649
  6. CHAJDA I., HALAŠ R., Order algebras, Demonstrate Math. 35 (2002), 1-10. Zbl1236.08004MR1883937
  7. CHAJDA I., HALAŠ R., ZEDNÍK J., Filters and annihilators in implication algebras, Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 37 (1998), 41-45. (1998) Zbl0967.03059MR1690472
  8. DIEGO A., Sur les algébres de Hilbert, In: Collection de Logique Math. Ser. A. 21, Hermann, Paris, 1967, pp. 177-198. (1967) MR0199086
  9. DUDEK W. A., On ideals in Hilbert algebras, Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 38 (1999), 31-34. (1999) Zbl0957.06018MR1767188
  10. JUN Y. B., Deductive systems of Hilbert algebras, Math. Japon. 43 (1996), 51-54. (1996) Zbl0946.03079MR1373981

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