| Title:
|
Modal operators on bounded commutative residuated $\ell $-monoids (English) |
| Author:
|
Rachůnek, Jiří |
| Author:
|
Šalounová, Dana |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
[321]-332 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| MSC:
|
06F05 |
| idZBL:
|
Zbl 1150.06016 |
| idMR:
|
MR2357828 |
| . |
| Date available:
|
2009-09-25T14:39:03Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136958 |
| . |
| Reference:
|
[1] BALBES R.-DWINGER R.: Distributive Lattices.Univ. Missouri Press, Columbia, 1974. Zbl 0321.06012, MR 0373985 |
| Reference:
|
[2] BLOUNT K.-TSINAKIS C.: The structure of residuated lattices.Intеrnat. J. Algеbra Comput. 13 (2003), 437-461. Zbl 1048.06010, MR 2022118 |
| Reference:
|
[3] CIGNOLI R. L. O.-D'OТТAVIANO I. M. L.-MUNDICI D.: Algebraic Foundation of Many-valued Reasoning.Kluwеr Acad. Publ., Dordrecht-Boston-London, 2000. MR 1786097 |
| Reference:
|
[4] DVUREČENSKIJ A.-RACHŮNEK J.: Probabilistic averaging in bounded commutative residuated $\ell$-monoids.Discrete Math. 306 (2006), 1317-1326 Zbl 1105.06011, MR 2237716 |
| Reference:
|
[5] GALAТOS M.- ТSINAKIS C.: Generalized MV-algebras.J. Algеbra 283 (2005), 254-291. MR 2102083 |
| Reference:
|
[6] HÁJEK P.: Metamathematics of Fuzzy Logic.Kluwer, Amsterdam, 1998. Zbl 0937.03030, MR 1900263 |
| Reference:
|
[7] HARLENDEROVÁ M.-RACHŮNEK J.: Modal operators on MV-algebras.Math. Bohem. 131 (2006), 39-48. Zbl 1112.06014, MR 2211002 |
| Reference:
|
[8] JIPSEN P.-ТSINAKIS C.: A survey of residuated lattices.In: Ordеrеd Algеbraic Structurеs (J. Martinеz, еd.), Kluwеr Acad. Publ., Dordrеcht, 2002, pp. 19-56. Zbl 1070.06005, MR 2083033 |
| Reference:
|
[9] KÜHR J.: Dually Residuated Lattice-Ordered Monoids.Ph.D. Тhеsis, Palacký Univ. Olomouc, 2003. Zbl 1141.06014 |
| Reference:
|
[10] MACNAB D. S.: Modal operators on Heyting algebras.Algebra Universalis 12 (1981), 5-29. Zbl 0459.06005, MR 0608645 |
| Reference:
|
[11] RACHŮNEK J.: $DR\ell$-semigroups and $MV$-algebras.Czechoslovak Math. J. 48 (1998), 365-372. MR 1624268 |
| Reference:
|
[12] RACHŮNEK J.: MV-algebras are categorically equivalent to a class of $DR\ell_{1(i)}-semi-groups.Math. Bohem. 123 (1998), 437-441. MR 1667115 |
| Reference:
|
[13] RACHŮNEK J.: A duality between algebras of basic logic and bounded representable $DR\ell$-monoids.Math. Bohem. 126 (2001), 561-569. MR 1970259 |
| Reference:
|
[14] RACHŮNEK J.-ŠALOUNOVÁ D.: Local bounded commutative residuated t-monoids.Czechoslovak Math. J. 57 (2007), 395-406 MR 2309973 |
| Reference:
|
[15] RACHŮNEK J.- SLEZÁK V.: Negation in bounded commutative DRl-monoids.Czechoslovak Math. J. 56 (2006), 755-763 MR 2291772 |
| Reference:
|
[16] SWAMY K. L. N.: Dually residuated lattice ordered semigroups.Math. Ann. 159 (1965), 105-114. Zbl 0138.02104, MR 0183797 |
| . |
