| Title:
|
On chains in $MV$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
151-166 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| idZBL:
|
Zbl 0988.06008 |
| idMR:
|
MR1841444 |
| . |
| Date available:
|
2009-09-25T11:50:26Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136801 |
| . |
| Reference:
|
[1] CHANG C. C.: Algebraic analysis of many-valued logics.Trans. Amer. Мath. Soc. 88 (1958), 467-490. Zbl 0084.00704, MR 0094302 |
| Reference:
|
[2] CHANG C. C.: A new proof of the completeness of the Lukasiewicz axioms.Trans. Amer. Math. Soc. 89 (1959), 74-80. Zbl 0093.01104, MR 0122718 |
| Reference:
|
[3] CIGNOLI R.: Complete and atomic algebras of the infinite valued Lukasiewicz logic.Studia Logica 50 (1991), 375-384. Zbl 0753.03026, MR 1170180 |
| Reference:
|
[4] CIGNOLI R.-D'OTTAVIANO I. M. I.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Trends in Logic, Vol. 7, Kluwer Academic Publishers, Dordrecht, 2000. Zbl 0937.06009, MR 1786097 |
| Reference:
|
[5] GLUSCHANKOF D.: Cyclic ordered groups and MV-algebras.Czechoslovak Math. J. 43 (1993), 249-263. Zbl 0795.06015, MR 1211747 |
| Reference:
|
[6] GRIGOLIA R.: Algebraic analysis of n-valued logical systems.In: Selected Papers on Lukasiewicz Sentential Calculi (R. Wójcicki, G. Malinowski, eds.), Polish Acad. of Sciences, Ossolineum, Wroclaw, 1977, pp. 81-92. MR 0439560 |
| Reference:
|
[7] JAKUBÍK J.: On the Jordan-Dedekind chain condition.Acta Sci. Math. 16 (1955), 266-269. Zbl 0065.26602, MR 0077502 |
| Reference:
|
[8] JAKUBIK J.: Remark on the Jordan-Dedekind condition in Boolean algebras.Časopis Pěst. Mat. 82 (1957), 44-46. (Slovak) MR 0088475 |
| Reference:
|
[9] JAKUBÍK J.: On chains in Boolean algebras.Mat.-Fyz. Časopis SAV 8 (1958), 193-202. (Slovak) |
| Reference:
|
[10] JAKUBÍK J.: Konvexe Ketten in $\ell$-Gruppen.Časopis Pěst. Mat. 83 (1958), 53-63. MR 0104740 |
| Reference:
|
[11] JAKUBÍK J.: Direct product decompositions of MV-algebras.Czechoslovak Math. J. 44 (1994), 725-739. MR 0137776 |
| Reference:
|
[12] JAKUBÍK J.: On complete MV-algebras.Czechoslovak Math. J. 45 (1995), 473-480. Zbl 0841.06010, MR 1344513 |
| Reference:
|
[13] JAKUBÍK J.: On archimedean MV-algebras.Czechoslovak Math. J. 48 (1998), 575-582. Zbl 0951.06011, MR 1637871 |
| Reference:
|
[14] MUNDICI D.: Interpretation of AFC* -algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173 |
| Reference:
|
[14] SZÁSZ G.: Generalization of a theorem of Birkhoff concerning maximal chains of a certain type of lattices.Acta Sci. Math. 16 (1955), 89-91. Zbl 0064.02904, MR 0071398 |
| Reference:
|
[15] WAJSBERG M.: Beiträge zum Metaaussagenkalkül I.Monatsh. Math. Phys. 42 (1935), 221-242. Zbl 0013.09701, MR 1550430 |
| . |
