| Title: | DRl-semigroups and $MV$-algebras (English) | 
| Author: | Rachůnek, Jiří | 
| Language: | English | 
| Journal: | Czechoslovak Mathematical Journal | 
| ISSN: | 0011-4642 (print) | 
| ISSN: | 1572-9141 (online) | 
| Volume: | 48 | 
| Issue: | 2 | 
| Year: | 1998 | 
| Pages: | 365-372 | 
| . | 
| Category: | math | 
| . | 
| MSC: | 03B50 | 
| MSC: | 03G20 | 
| MSC: | 06D30 | 
| MSC: | 06D35 | 
| MSC: | 06F05 | 
| MSC: | 20M99 | 
| idZBL: | Zbl 0952.06014 | 
| idMR: | MR1624268 | 
| . | 
| Date available: | 2009-09-24T10:14:16Z | 
| Last updated: | 2020-07-03 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/127423 | 
| . | 
| Reference: | [bi] G. Birkhoff: Lattice Theory, 3rd ed.AMS Providence, RI, 1967. MR 0227053 | 
| Reference: | [ch1] C. C. Chang: Algebraic analysis of many-valued logics.Trans. Amer. Math. Soc. 88 (1958), 467–490. Zbl 0084.00704, MR 0094302, 10.1090/S0002-9947-1958-0094302-9 | 
| Reference: | [ch2] C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms.Trans. Amer. Math. Soc. 93 (1959), 74–80. Zbl 0093.01104, MR 0122718 | 
| Reference: | [ci] R. Cignoli: Free lattice-ordered abelian groups and varieties of MV-algebras.Proc. IX Latin Amer. Symp. Math. Logic, Part 1, Not. Log. Mat. 38, 1993, pp. 113–118. Zbl 0827.06012, MR 1332526 | 
| Reference: | [gl] D. Gluschankof: Cyclic ordered groups and MV-algebras.Czechoslovak Math. J. 43 (118) (1993), 249–263. Zbl 0795.06015, MR 1211747 | 
| Reference: | [ja] J. Jakubík: On complete MV-algebras.Czechoslovak Math. J. 45 (120) (1995), 473–480. MR 1344513 | 
| Reference: | [sw1] K. L. N. Swamy: Dually residuated lattice ordered semigroups.Math. Ann. 159 (1965), 105–114. Zbl 0138.02104, MR 0183797, 10.1007/BF01360284 | 
| Reference: | [sw2] K. L. N. Swamy: Dually residuated lattice ordered semigroups III.Math. Ann. 167 (1966), 71–74. Zbl 0158.02601, MR 0200364, 10.1007/BF01361218 | 
| Reference: | [sr] K. L. N. Swamy and N. P. Rao: Ideals in autometrized algebras.J. Austral. Math. Soc. 24 (Ser. A) (1977), 362–374. MR 0469843, 10.1017/S1446788700020383 | 
| . |