| Title:
|
Remarks on commutative Hilbert algebras (English) |
| Author:
|
Halaš, Radomír |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
525-529 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper shows that commutative Hilbert algebras introduced by Y. B. Jun are just J. C. Abbot’s implication algebras. (English) |
| Keyword:
|
Hilbert algebra |
| Keyword:
|
implication algebra |
| Keyword:
|
Boolean algebra |
| MSC:
|
03B60 |
| MSC:
|
03G25 |
| idZBL:
|
Zbl 1008.03039 |
| idMR:
|
MR1942638 |
| DOI:
|
10.21136/MB.2002.133956 |
| . |
| Date available:
|
2009-09-24T22:04:40Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133956 |
| . |
| Reference:
|
[1] Abott J. C.: Semi-Boolean algebras.Matem. Vestnik 4 (1967), 177–198. |
| Reference:
|
[2] Chajda I.: The lattice of deductive systems on Hilbert algebras.Southeast Asian Bull. Math (to appear). Zbl 1010.03054, MR 2046584 |
| Reference:
|
[3] Chajda I., Halaš R.: Annihilators in Hilbert algebras.Mult.-Valued Log (to appear). MR 1957649 |
| Reference:
|
[4] Chajda I., Halaš R.: Congruences and ideals in Hilbert algebras.Kyungpook Mathem. J. 39 (1999), 429–432. MR 1728116 |
| Reference:
|
[5] Diego A.: Sur algébres de Hilbert.Collect. Logique Math. Ser. A 21 (1967), 177–198. |
| Reference:
|
[6] Jun Y. B.: Commutative Hilbert algebras.Soochow J. Math. 22 (1996), 477–484. Zbl 0864.03042, MR 1426553 |
| . |
