| Title:
|
Convex mappings of archimedean MV-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
51 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
383-391 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| idZBL:
|
Zbl 0990.06007 |
| idMR:
|
MR1864107 |
| . |
| Date available:
|
2009-09-25T11:53:39Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136812 |
| . |
| Reference:
|
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| Reference:
|
[2] CIGNOLI R.-D'OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Trends in Logic - Studia Logica Library Vol. 7, Kluwer Acadеmic Publishеrs, Dordrеcht, 2000. Zbl 0937.06009, MR 1786097 |
| Reference:
|
[3] CONRAD P.: Lattice Ordered Groups.Math. Rеs. Library IV, Tulanе Univеrsity, Nеw Orlеans, 1970. Zbl 0258.06011 |
| Reference:
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[4] DARNEL M. R.: Theory of Lattice-Ordered Groups.M. Dеkkеr, Nеw York-Basel-Hong Kong, 1995. Zbl 0810.06016, MR 1304052 |
| Reference:
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[5] DVUREČENSKIJ A.-PULМANNOVÁ S.: New Trends in Quantum Structures.Kluwer Acad. Publ., Dordrecht, 2000. Zbl 0987.81005 |
| Reference:
|
[6] GLUSCHANKOV D.: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43 (1993), 249-263. MR 1211747 |
| Reference:
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[7] JAKUBÍK J.: Cantor-Bernstein theorem for lattice ordered groups.Czechoslovak Math. J. 22 (1972), 159-175. Zbl 0243.06009, MR 0297666 |
| Reference:
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[8] JAKUBÍK J.: Sequential convergences on $MV$-algebras.Czechoslovak Math. J. 45 (1995), 709-726. Zbl 0845.06009, MR 1354928 |
| Reference:
|
[9] JAKUBÍK J.: On complete lattice ordered groups with strong units.Czechoslovak Math. J. 46 (1996), 221-230. Zbl 0870.06014, MR 1388611 |
| Reference:
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[10] JAKUBÍK J.: On archimedean $MV$-algebras.Czechoslovak Math. J. 48 (1998), 575-582. Zbl 0951.06011, MR 1637871 |
| Reference:
|
[11] JAKUBÍK J.: Complete generators and maximal completions of $MV$-algebras.Czechoslovak Math. J. 48 (1998), 597-608. Zbl 0951.06010, MR 1637863 |
| Reference:
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[12] JAKUBÍK J.: Cantor-Bernstein theorem for $MV$-algebras.Czechoslovak Math. J. 49 (1999), 517-526. Zbl 1004.06011, MR 1708370 |
| Reference:
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[13] JAKUBIK J.: Convex isomorphisms of archimedean lattice ordered groups.Mathware Soft Comput. 5 (1998), 49-56. Zbl 0942.06008, MR 1632739 |
| Reference:
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[14] MUNDICI D.: Interpretation of $AFC^\ast$ -algebras in Łukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173 |
| Reference:
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[15] SCHMIDT J.: Zur Kennzeichnung der Dedekind - Mac Neilleschen Hülle einer geordneten Menge.Arch. Math. (Basel) 7 (1956), 241-249. MR 0084484 |
| Reference:
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[16] SIKORSKI R.: A generalization of theorem of Banach and Cantor-Bernstein.Colloq. Math. 1 (1948), 140-144. MR 0027264 |
| Reference:
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[17] SIKORSKI R.: Boolean Algebras.(2nd ed.), Springer Verlag, Berlin, 1964. Zbl 0123.01303, MR 0126393 |
| Reference:
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[18] SIMONE A. DE-MUNDICI D.-NAVARA M.: A Cantor-Bernstein theorem for a complete $MV$-algebras.Preprint. |
| Reference:
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[19] TARSKI A.: Cardinal Algebras.Oxford University Press, New York-London, 1949. Zbl 0041.34502, MR 0029954 |
| . |
