| Title:
|
Complete generators and maximal completions of $MV$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
597-608 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G10 |
| MSC:
|
03G20 |
| MSC:
|
06D35 |
| MSC:
|
08B20 |
| idZBL:
|
Zbl 0951.06010 |
| idMR:
|
MR1637863 |
| . |
| Date available:
|
2009-09-24T10:16:20Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127439 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] R. Cignoli: Complete and atomic algebras of the infinite valued Łukasiewicz logic.Studia Logica 50 (1991), 375–384. Zbl 0753.03026, MR 1170180, 10.1007/BF00370678 |
| Reference:
|
[3] C. J. Everett: Sequence completion of lattice moduls.Duke Math. J. 11 (1944), 109–119. Zbl 0060.06301, MR 0009592, 10.1215/S0012-7094-44-01112-9 |
| Reference:
|
[4] D. Gluschankov: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43 (1993), 249–263. MR 1211747 |
| Reference:
|
[5] A. W. Hales: On the non-existence of free complete Boolean algebras.Fundam. Math. 54 (1964), 45–66. Zbl 0119.26003, MR 0163863, 10.4064/fm-54-1-45-66 |
| Reference:
|
[6] J. Jakubík: Maximal Dedekind completion of an abelian lattice ordered group.Czechoslovak Math. J. 28 (1978), 611–631. MR 0506435 |
| Reference:
|
[7] J. Jakubík: Direct product decompositions of $MV$-algebras.Czechoslovak Math. J. 44 (1994), 725–739. |
| Reference:
|
[8] J. Jakubík: On complete $MV$-algebras.Czechoslovak Math. J. 45 (1995), 473–480. MR 1344513 |
| Reference:
|
[9] J. Jakubík: On archimedean $MV$-algebras.Czechoslovak Math. J 48 (1998), 575–582. MR 1637871, 10.1023/A:1022436113418 |
| Reference:
|
[10] M. Jakubíková: Über die $B$-Potenz einer teilweise geordneten Gruppe.Matem. časopis 23 (1973), 231–239. MR 0337718 |
| Reference:
|
[11] M. Jakubíková: The nonexistence of free complete vector lattices.Časop. pěst. matem. 99 (1974), 142–146. |
| Reference:
|
[12] D. Mundici: Interpretation of $AFC^*$-algebras in Łukasiewicz sentential calculus.Journ. Functional Anal. 65 (1986), 15–63. MR 0819173, 10.1016/0022-1236(86)90015-7 |
| Reference:
|
[13] R. Sikorski: Boolean Algebras.Second edition, Berlin, 1964. Zbl 0123.01303, MR 0177920 |
| . |
