| Title:
|
Direct product decomposition of $MV$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
725-739 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03B50 |
| MSC:
|
03G25 |
| MSC:
|
06D30 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0821.06011 |
| idMR:
|
MR1295146 |
| DOI:
|
10.21136/CMJ.1994.128490 |
| . |
| Date available:
|
2009-09-24T09:43:28Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128490 |
| . |
| Reference:
|
[1] L. P. Belluce: Semisimple algebras of infinite valued logic and bold fuzzy set theory.Canad. J. Math. 38 (1986), 1356–1379. Zbl 0625.03009, MR 0873417, 10.4153/CJM-1986-069-0 |
| Reference:
|
[2] L. P. Belluce: Semi-simple and complete $MV$-algebras.Algebra Univ. 29 (1992), 1–9. Zbl 0756.06005, MR 1145551, 10.1007/BF01190751 |
| Reference:
|
[3] G. Birkhoff: Lattice theory.Amer. Math. Soc. Colloquium Publ. Vol. 25, Third Edition, Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[4] C. C. Chang: Algebraic analysis of many-valued logics.Trans. Amer. Math. Soc.88 (1958), 467–490. Zbl 0084.00704, MR 0094302 |
| Reference:
|
[5] C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms.Trans. Amer. Math. Soc. 89 (1959), 74–80. Zbl 0093.01104, MR 0122718 |
| Reference:
|
[6] D. Gluschankof: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43 (1993), 249–263. Zbl 0795.06015, MR 1211747 |
| Reference:
|
[7] C. Goffman: Remarks on lattice ordered groups and vector lattices. I. Carathéodory functions.Trans. Amer. Math. Soc.88 (1958), 107–120. Zbl 0088.02602, MR 0097331 |
| Reference:
|
[8] J. Jakubík: Cardinal properties of lattice ordered groups.Fundam. Math.74 (1972), 85–98. MR 0302528, 10.4064/fm-74-2-85-98 |
| Reference:
|
[9] A. G. Kurosh: Group Theory, Third Edition.Moskva, 1967. (Russian) |
| Reference:
|
[10] D. Mundici: Interpretation of $AFC^*$-algebras in Lukasiewicz sentential calculus.Journ. Functional. Anal.65 (1986), 15–63. MR 0819173, 10.1016/0022-1236(86)90015-7 |
| Reference:
|
[11] F. Šik: Über subdirekte Summen geordneter Gruppen.Czech. Math. J. 10 (85) (1960), 400–424. MR 0123626 |
| . |
