A non-associative generalization of MV-algebras
Mathematica Slovaca (2007)
- Volume: 57, Issue: 4, page [301]-312
- ISSN: 0232-0525
Access Full Article
topHow to cite
topChajda, Ivan, and Kühr, Jan. "A non-associative generalization of MV-algebras." Mathematica Slovaca 57.4 (2007): [301]-312. <http://eudml.org/doc/34648>.
@article{Chajda2007,
author = {Chajda, Ivan, Kühr, Jan},
journal = {Mathematica Slovaca},
keywords = {MV-algebra; -lattice},
language = {eng},
number = {4},
pages = {[301]-312},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A non-associative generalization of MV-algebras},
url = {http://eudml.org/doc/34648},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Chajda, Ivan
AU - Kühr, Jan
TI - A non-associative generalization of MV-algebras
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 4
SP - [301]
EP - 312
LA - eng
KW - MV-algebra; -lattice
UR - http://eudml.org/doc/34648
ER -
References
top- ABBOTT J. C., Semi-boolean algebra, Mat. Vesnik 4 (1967), 177-198. (1967) Zbl0153.02704MR0239957
- BAHLS R.-COLE J.-GALATOS N.-JIPSEN R.-TSINAKIS C., Cancellative residuated lattices, Algebra Universalis 50 (2003), 83-106. Zbl1092.06012MR2026830
- CHAJDA I.-HALAŠ R.-KÜHR J., Distributive lattices with sectionally antitone involutions, Acta Sci. Math. (Szeged) 71 (2005), 19-33. Zbl1099.06006MR2160352
- CHAJDA I.-HALAŠ R.-KÜHR J., Implication in MV-algebras, Algebra Universalis 52 (2004), 377-382. Zbl1097.06011MR2120523
- CHANG C. C., Algebraic analysis of many-valued logic, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) MR0094302
- CHANG C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74-80. (1959) Zbl0093.01104MR0122718
- CIGNOLI R. L. O.-D'OTTAVIANO I. M. L.-MUNDICI D., Algebraic Foundations of Many-valued Reasoning, Kluwer Acad. Publ, Dordrecht-Boston-London, 2000. Zbl0937.06009MR1786097
- GALATOS N.-TSINAKIS C., Generalized MV-algebras, J. Algebra 283 (2005), 254-291. Zbl1063.06008MR2102083
- GEORGESCU C.-IORGULESCU A., Pseudo-MV algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
- JEŽEK J.-QUACKENBUSH R., Directoids: algebraic models of up-directed sets, Algebra Universalis 27 (1990), 49-69. (1990) Zbl0699.08002MR1025835
- KARÁSEK J., Rotations of -lattices, Math. Bohem. 121 (1996), 293-300. (1996) Zbl0879.06001MR1419883
- MANGANI, R, Su certe algebre connesse con logiche a piú valori, Boll. Unione Mat. Ital. Ser. IV. 8 (1973), 68-78. (1973) Zbl0274.02007MR0337491
- MUNDICI D., Interpretation of -algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) Zbl0597.46059MR0819173
- RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434
- SNÁŠEL V., -lattices, Ph.D. Thesis, Masaryk Univ., Brno, 1991. (1991)
- SNÁŠEL V., -lattices, Math. Bohem. 122 (1997), 267-272. (1997) Zbl0897.06003MR1600648
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.