| Title:
|
Distinguished extensions of an $MV$-algebra (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
867-876 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 1004.06012 |
| idMR:
|
MR1746712 |
| . |
| Date available:
|
2009-09-24T10:28:39Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127536 |
| . |
| Reference:
|
[1] R. Balbes: Projective and injective distributive lattices.Pacific J. Math 31 (1967), 405–420. Zbl 0157.34301, MR 0211927, 10.2140/pjm.1967.21.405 |
| Reference:
|
[2] R. N. Ball: The distinguished completion of a lattice ordered group.In: Algebra Carbondale 1980, Lecture Notes Math. 848, Springer Verlag, 1980, pp. 208–217. MR 0613187 |
| Reference:
|
[3] R. N. Ball: Distributive Cauchy lattices.Algebra Univ. 18 (1984), 134–174. Zbl 0539.06008, MR 0743464, 10.1007/BF01198525 |
| Reference:
|
[4] R. N. Ball: Completions of $\ell $-groups.In: Lattice ordered groups, A. M. W. Glass and W. C. Holland, editors, Kluwer, Dordrecht-Boston-London, 1989, Chapter 7, 142–177. MR 1036077 |
| Reference:
|
[5] R. N. Ball: Distinguished extensions of a lattice ordered group.Algebra Univ. 35 (1996), 85–112. Zbl 0842.06012, MR 1360533, 10.1007/BF01190971 |
| Reference:
|
[6] G. Birkhoff: Lattice Theory.Revised Edition, New York, 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[7] D. Gluschankof: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43 (1993), 249–263. Zbl 0795.06015, MR 1211747 |
| Reference:
|
[8] J. Jakubík: Direct product decompositions of $MV$-algebras.Czechoslovak Math. J. 44 (1994), 725–739. |
| Reference:
|
[9] D. Mundici: Interpretation of $AFC^*$-algebras in Łukasziewicz sentential calculus.J. Functional Anal. 65 (1986), 15–53. MR 0819173, 10.1016/0022-1236(86)90015-7 |
| . |
