| Title:
|
A non-associative generalization of MV-algebras (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Kühr, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
[301]-312 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G25 |
| MSC:
|
06A06 |
| MSC:
|
06D35 |
| idZBL:
|
Zbl 1150.06012 |
| idMR:
|
MR2357826 |
| . |
| Date available:
|
2009-09-25T14:38:47Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136956 |
| . |
| Reference:
|
[1] ABBOTT J. C.: Semi-boolean algebra.Mat. Vesnik 4 (1967), 177-198. Zbl 0153.02704, MR 0239957 |
| Reference:
|
[2] BAHLS R.-COLE J.-GALATOS N.-JIPSEN R.-TSINAKIS C.: Cancellative residuated lattices.Algebra Universalis 50 (2003), 83-106. Zbl 1092.06012, MR 2026830 |
| Reference:
|
[3] CHAJDA I.-HALAŠ R.-KÜHR J.: Distributive lattices with sectionally antitone involutions.Acta Sci. Math. (Szeged) 71 (2005), 19-33. Zbl 1099.06006, MR 2160352 |
| Reference:
|
[4] CHAJDA I.-HALAŠ R.-KÜHR J.: Implication in MV-algebras.Algebra Universalis 52 (2004), 377-382. Zbl 1097.06011, MR 2120523 |
| Reference:
|
[5] CHANG C. C.: Algebraic analysis of many-valued logic.Trans. Amer. Math. Soc. 88 (1958), 467-490. MR 0094302 |
| Reference:
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[6] CHANG C. C.: A new proof of the completeness of the Lukasiewicz axioms.Trans. Amer. Math. Soc. 93 (1959), 74-80. Zbl 0093.01104, MR 0122718 |
| Reference:
|
[7] CIGNOLI R. L. O.-D'OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundations of Many-valued Reasoning.Kluwer Acad. Publ, Dordrecht-Boston-London, 2000. Zbl 0937.06009, MR 1786097 |
| Reference:
|
[8] GALATOS N.-TSINAKIS C.: Generalized MV-algebras.J. Algebra 283 (2005), 254-291. Zbl 1063.06008, MR 2102083 |
| Reference:
|
[9] GEORGESCU C.-IORGULESCU A.: Pseudo-MV algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
| Reference:
|
[10] JEŽEK J.-QUACKENBUSH R.: Directoids: algebraic models of up-directed sets.Algebra Universalis 27 (1990), 49-69. Zbl 0699.08002, MR 1025835 |
| Reference:
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[11] KARÁSEK J.: Rotations of $\lambda$-lattices.Math. Bohem. 121 (1996), 293-300. Zbl 0879.06001, MR 1419883 |
| Reference:
|
[12] MANGANI, R: Su certe algebre connesse con logiche a piú valori.Boll. Unione Mat. Ital. Ser. IV. 8 (1973), 68-78. Zbl 0274.02007, MR 0337491 |
| Reference:
|
[13] MUNDICI D.: Interpretation of $AF$ $C^\ast$ -algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. Zbl 0597.46059, MR 0819173 |
| Reference:
|
[14] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434 |
| Reference:
|
[15] SNÁŠEL V.: $\lambda$-lattices.Ph.D. Thesis, Masaryk Univ., Brno, 1991. |
| Reference:
|
[16] SNÁŠEL V.: $\lambda$-lattices.Math. Bohem. 122 (1997), 267-272. Zbl 0897.06003, MR 1600648 |
| . |
