Full entry |
PDF
(0.2 MB)
Feedback

residuated lattice; residuated semilattice; biresiduation algebra; pseudo-MV-algebra; sectionally residuated semilattice; sectionally residuated lattice

References:

[1] Abbott, J. C.: **Semi-boolean algebra**. Matem. Vestnik 4 (1967), 177-198. MR 0239957 | Zbl 0153.02704

[2] Alten, C. J. van: **Representable biresiduated lattices**. J. Algebra 247 (2002), 672-691. DOI 10.1006/jabr.2001.9039 | MR 1877868

[3] Alten, C. J. van: **On varieties of biresiduation algebras**. Stud. Log. 83 (2006), 425-445. DOI 10.1007/s11225-006-8312-6 | MR 2250119

[4] Ceterchi, R.: **Pseudo-Wajsberg algebras**. Mult.-Valued Log. 6 (2001), 67-88. MR 1817437 | Zbl 1013.03074

[5] Chajda, I., Halaš, R., Kühr, J.: **Implication in MV-algebras**. Algebra Univers. 52 (2004), 377-382. MR 2120523

[6] Cignoli, R. L. O., D'Ottaviano, I. M. L., Mundici, D.: **Algebraic Foundations of Many-Valued Reasoning**. Kluwer Acad. Publ., Dordrecht (2000). MR 1786097 | Zbl 0937.06009

[7] Galatos, N., Tsinakis, C.: **Generalized MV-algebras**. J. Algebra 283 (2005), 254-291. DOI 10.1016/j.jalgebra.2004.07.002 | MR 2102083 | Zbl 1063.06008

[8] Georgescu, G., Iorgulescu, A.: **Pseudo-MV algebras**. Mult.-Valued Log. 6 (2001), 95-135. MR 1817439 | Zbl 1014.06008

[9] Georgescu, G., Iorgulescu, A.: **Pseudo-BCK algebras: An extension of BCK algebras**. Proc. of DMTCS'01: Combinatorics, Computability and Logic, London (2001), 97-114. MR 1934824 | Zbl 0986.06018

[10] Jipsen, P., Tsinakis, C.: **A survey of residuated lattices**. Ordered Algebraic Structures (J. Martinez, ed.), Kluwer Acad. Publ., Dordrecht (2002), 19-56. MR 2083033 | Zbl 1070.06005

[11] Kühr, J.: **Pseudo BCK-algebras and residuated lattices**. Contr. Gen. Algebra 16 (2005), 139-144. MR 2166954

[12] Kühr, J.: **Commutative pseudo BCK-algebras**. (to appear) in Southeast Asian Bull. Math. MR 2524913

[13] Leuştean, I.: **Non-commutative Łukasiewicz propositional logic**. Arch. Math. Log. 45 (2006), 191-213. DOI 10.1007/s00153-005-0297-8 | MR 2209743

[14] Rachůnek, J.: **A non-commutative generalization of MV-algebras**. Czech. Math. J. 52 (2002), 255-273. DOI 10.1023/A:1021766309509 | MR 1905434

[15] Ward, M., Dilworth, R. P.: **Residuated lattices**. Trans. Am. Math. Soc. 45 (1939), 335-354. DOI 10.1090/S0002-9947-1939-1501995-3 | MR 1501995 | Zbl 0021.10801