| Title:
|
Cyclic ordered groups and MV-algebras (English) |
| Author:
|
Gluschankof, Daniel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
249-263 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G25 |
| MSC:
|
06D30 |
| MSC:
|
06D99 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0795.06015 |
| idMR:
|
MR1211747 |
| DOI:
|
10.21136/CMJ.1993.128391 |
| . |
| Date available:
|
2009-09-24T09:29:34Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128391 |
| . |
| Reference:
|
[1] R. Balbes and P. Dwinger: Distributive lattices.University of Missouri Press, 1974. MR 0373985 |
| Reference:
|
[2] A. Bigard, K. Keimel and S. Wolfenstein: Groupes et anneaux réticulés.Springer LNM 608 (1978). MR 0552653 |
| Reference:
|
[3] S. Burris and H. P. Sankappanavar: A course in universal algebra.Springer–Verlag, New York–Heidelberg–Berlin, 1981. MR 0648287 |
| Reference:
|
[4] C. C. Chang: Algebraic analysis of many-valued logics.Trans. Am. Math. Soc. 88 (1958), 467–490. Zbl 0084.00704, MR 0094302, 10.1090/S0002-9947-1958-0094302-9 |
| Reference:
|
[5] C. C. Chang: A new proof of the completeness of the Łukasiewicz axioms.Trans. Am. Math. Soc. 93 (1959), 74–80. Zbl 0093.01104, MR 0122718 |
| Reference:
|
[6] J. Font, A. Rodríguez and A. Torrens: Wajsberg algebras.Stochastica, VIII (1984), 5–31. MR 0780136 |
| Reference:
|
[7] F. Lacava: Alcune proprietà delle ł-algebre e delle t-algebre essistenzialmente chiuse.Boll. Unione Mat. Italiana (5) 16A (1979), 360–366. |
| Reference:
|
[8] D. Mundici: Interpretation of $C^*$-Algebras in Łukasiewicz sentential calculus.J. Func. An. 65 (1986), 15–63. MR 0819173, 10.1016/0022-1236(86)90015-7 |
| Reference:
|
[9] L. Rieger: On ordered and cyclically ordered groups I, II, III.Věstník král. české spol. nauk (1946 1947 1948), 1–31 1-33 1–26, In Czech. MR 0020995 |
| Reference:
|
[10] S. Swierczkowski: On cyclically ordered groups.Fund. Math. 47 (1959), 161–166. Zbl 0096.01501, MR 0110759, 10.4064/fm-47-2-161-166 |
| Reference:
|
[11] A. Torrens: W-algebras which are Boolean products of members of SR[1] and CW-algebras.Studia Logica, XXLVI 33 (1987), 263–272. Zbl 0621.03042, MR 0938720 |
| Reference:
|
[12] V. Weispfenning: Elimination of quantifiers for certain ordered and lattice-ordered abelian groups.Bull. Soc. Math. Belg., XXXIII (1981), Fasc. I, serie B, 131–155. Zbl 0499.03012, MR 0620968 |
| Reference:
|
[13] A. I. Zabarina and G. G. Pestov: Swierczkowski’s theorem.Sibirski Math. J. 25 (1984), 46–53. MR 0754739 |
| Reference:
|
[14] S. D. Zheleva: Cyclically ordered groups.Sibirski Math. J. 17 (1976), 1046–1051. Zbl 0362.06022 |
| . |
