| Title:
|
Cantor-Bernstein theorem for $MV$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
3 |
| Year:
|
1999 |
| Pages:
|
517-526 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G25 |
| MSC:
|
06D35 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1004.06011 |
| idMR:
|
MR1708370 |
| . |
| Date available:
|
2009-09-24T10:25:03Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127507 |
| . |
| Reference:
|
[1] P. Conrad, D. McAlister: The completion of lattice ordered groups.Journ. Austral. Math. Soc. 9 (1969), 182–208. MR 0249340, 10.1017/S1446788700005760 |
| Reference:
|
[2] D. Gluschankof: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43 (1993), 249–263. Zbl 0795.06015, MR 1211747 |
| Reference:
|
[3] J. Jakubík: Cantor-Bernstein theorem for lattice ordered groups.Czechoslovak Math. J. 22 (1972), 159–175. MR 0297666 |
| Reference:
|
[4] J. Jakubík: Direct product decompositions of $MV$-algebras.Czechoslovak Math. J. 44 (1994), 725–739. MR 1295146 |
| Reference:
|
[5] J. Jakubík: On complete lattice ordered groups with strong units.Czechoslovak Math. J. 46 (1996), 221–230. MR 1388611 |
| Reference:
|
[6] J. Jakubík: On complete $MV$-algebras.Czechoslovak Math. J. 45 (1995), 473–480. MR 1344513 |
| Reference:
|
[7] L. V. Kantorovič, B. Z. Vulich, A. G. Pinsker: Functional Analysis in Semiordered Spaces.Moskva, 1950. (Russian) |
| Reference:
|
[8] 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:
|
[9] R. Sikorski: A generalization of theorem of Banach and Cantor-Bernstein.Coll. Math. 1 (1948), 140–144. MR 0027264 |
| Reference:
|
[10] R. Sikorski: Boolean Algebras.Second Edition, Springer Verlag, Berlin, 1964. Zbl 0123.01303, MR 0126393 |
| Reference:
|
[11] A. Tarski: Cardinal Algebras.New York, 1949. Zbl 0041.34502 |
| . |
