Interior and Closure Operators on Commutative Bounded Residuated Lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2013)
- Volume: 52, Issue: 1, page 121-134
- ISSN: 0231-9721
Access Full Article
topAbstract
topHow to cite
topReferences
top- Balbes, R., Dwinger, P., Distributive Lattices, University Missouri Press, Columbia, 1974. (1974) Zbl0321.06012MR0373985
- Cignoli, R. L. O., D’Ottaviano, M. L., Mundici, D., Algebraic Foundations of Many-valued Reasoning, Kluwer Academic Publishers, Dordrecht, 2000. (2000) MR1786097
- Cignoli, R., Torrens, A., 10.1002/malq.200310082, Math. Log. Quart. 50 (2004), 111–125. (2004) Zbl1045.03026MR2037731DOI10.1002/malq.200310082
- Ciungu, L. C., Classes of residuated lattices, Annals of University of Craiova. Math. Comp. Sci. Ser. 33 (2006), 180–207. (2006) Zbl1119.03343MR2359903
- Dvurečenskij, A., Rachůnek, J., On Riečan and Bosbach states for bounded R-monoids, Math. Slovaca 56 (2006), 487–500. (2006) MR2293582
- Dvurečenskij, A., Rachůnek, J., 10.1016/j.disc.2005.12.024, Discrete Math. 306 (2006), 1317–1326. (2006) Zbl1105.06011MR2237716DOI10.1016/j.disc.2005.12.024
- Esteva, F., Godo, L., Monoidal t-norm based logic: towards a logic for left-continuous t-norms, Fuzzy Sets Syst. 124 (2001), 271–288. (2001) Zbl0994.03017MR1860848
- Galatos, N., Jipsen, P., Kowalski, T., Ono, H., Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Elsevier, Amsterdam, 2007. (2007) Zbl1171.03001MR2531579
- Hájek, P., Metamathematics of Fuzzy Logic, Springer, Dordrecht, 1998. (1998) MR1900263
- Jipsen, P., Montagna, A., 10.1007/s00012-009-2106-4, Algebra Universalis 60 (2009), 381–404. (2009) Zbl1192.06011MR2504748DOI10.1007/s00012-009-2106-4
- Jipsen, P., Tsinakis, C., A Survey of Residuated Lattices, In: Ordered Algebraic Structures, Kluwer, Dordrecht, (2006), 19–56. (2006) MR2083033
- Rachůnek, J., Slezák, V., 10.1007/s10587-006-0053-1, Czechoslovak Math. J. 56 (2007), 755–763. (2007) DOI10.1007/s10587-006-0053-1
- Rachůnek, J., Švrček, F., MV-algebras with additive closure operators, Acta Univ. Palacki. Olomouc., Fac. Rer. Nat., Math. 39 (2000), 183–189. (2000) Zbl1039.06005MR1826361
- Rachůnek, J., Švrček, F., 10.7151/dmgaa.1132, Discuss. Math., Gen. Alg. Appl. 28 (2008), 11–27. (2008) Zbl1227.06014MR2437765DOI10.7151/dmgaa.1132
- Sikorski, R., Boolean Algebras, 2nd edition, Springer-Verlag, Berlin–Göttingen–Heidelbeg–New York, 1963. (1963) Zbl0122.26101