| Title:
|
Sequential convergences on $MV$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
709-726 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G25 |
| MSC:
|
06D30 |
| MSC:
|
06D99 |
| MSC:
|
06F20 |
| MSC:
|
06F30 |
| idZBL:
|
Zbl 0845.06009 |
| idMR:
|
MR1354928 |
| DOI:
|
10.21136/CMJ.1995.128552 |
| . |
| Date available:
|
2009-09-24T09:52:05Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128552 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice theory, Amer. Math. Soc. Colloquium Publ. Vol. 25, Third Edition.Providence, 1967. MR 0227053 |
| Reference:
|
[2] C. C. Chang: Algebraic analysis of many-valued logics.Trans. Amer. Math. Soc. 88 (1958), 467–490. Zbl 0084.00704, MR 0094302, 10.1090/S0002-9947-1958-0094302-9 |
| Reference:
|
[3] C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms.Trans. Amer. Math. Soc. 83 (1959), 74–80. Zbl 0093.01104, MR 0122718 |
| Reference:
|
[4] D. Gluschankof: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43(1993), 249–263. Zbl 0795.06015, MR 1211747 |
| Reference:
|
[5] M. Harminc: The cardinality of the system of all sequential convergences on an abelian lattice ordered group.Czech. Math. J. 37 (1987), 533–546. MR 0913986 |
| Reference:
|
[6] M. Harminc: Sequential convergences on lattice ordered groups.Czech. Math. J. 39 (1989), 232–238. MR 0992130 |
| Reference:
|
[7] J. Jakubík: Distributivity in lattice ordered groups.Czech. Math. J. 22 (1972), 108–125. MR 0325487 |
| Reference:
|
[8] J. Jakubík: Convergences and complete distributivity of lattice ordered groups.Math. Slov. 38 (1988), 269–272. MR 0977905 |
| Reference:
|
[9] J. Jakubík: Sequential convergences in Boolean algebras.Czech. Math. J. 38 (1988), 520–530. MR 0950306 |
| Reference:
|
[10] J. Jakubík: Lattice ordered groups having a largest convergence.Czech. Math. J. 39 (1989), 717–729. MR 1018008 |
| Reference:
|
[11] J. Jakubík: Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras.Czech. Math. J. 40 (1990), 453–458. MR 1065024 |
| Reference:
|
[12] J. Jakubík: Sequential convergences in lattices.Math. Bohemica 117 (1992), 239–250. MR 1184537 |
| Reference:
|
[13] J. Jakubík: Direct product decompositions of $MV$-algebras.Czech. Math. J 44 (1994), 725–739. |
| Reference:
|
[14] 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 |
| . |
