| Title: | On Riečan and Bosbach states for bounded non-commutative $R\ell $-monoids (English) | 
| Author: | Dvurečenskij, Anatolij | 
| Author: | Rachůnek, Jiří | 
| Language: | English | 
| Journal: | Mathematica Slovaca | 
| ISSN: | 0139-9918 | 
| Volume: | 56 | 
| Issue: | 5 | 
| Year: | 2006 | 
| Pages: | 487-500 | 
| . | 
| Category: | math | 
| . | 
| MSC: | 06D35 | 
| MSC: | 06F05 | 
| idZBL: | Zbl 1141.06005 | 
| idMR: | MR2293582 | 
| . | 
| Date available: | 2009-09-25T14:34:47Z | 
| Last updated: | 2012-08-01 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/130751 | 
| . | 
| Reference: | [BCGJT] BAHLS P.-COLE J.-GALATOS N.-JIPSEN P.-TSINAKIS C.: Cancelative residuated lattices.Algebra Universalis 50 (2003), 83-106. MR 2026830 | 
| Reference: | [Boo] BOOLE G.: An Investigation of the Laws of Thought.Macmillan/Dover Press (reprinted), London/New York, 1854/1967. MR 2857913 | 
| Reference: | [Cha] CHANG C. C.: Algebraic analysis of many valued logics.Trans. Amer. Math. Soc. 88 (1958), 467-490. Zbl 0084.00704, MR 0094302 | 
| Reference: | [DGI1] DI NOLA A.-GEORGESCU G.-IORGULESCU A.: Pseudo-BL algebras I.Mult.-Valued Log. 8 (2002), 673-714. Zbl 1028.06007, MR 1948853 | 
| Reference: | [DGI2] DI NOLA A.-GEORGESCU G.-IORGULESCU A.: Pseudo-BL algebras II.Mult.-Valued Log. 8 (2002), 715-750. Zbl 1028.06008, MR 1948854 | 
| Reference: | [Dvul] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in i-groups.J. Aust. Math. Soc. 70 (2002), 427-445. MR 1902211 | 
| Reference: | [Dvu2] DVUREČENSKIJ A.: States on pseudo MV-algebras.Studia Logica 68 (2001), 301-327. Zbl 1081.06010, MR 1865858 | 
| Reference: | [DvPu] DVUREČENSKIJ A.-PULMANNOVÁ S.: New Trends in Quantum Structures.Kluwer Acad. Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl 0987.81005, MR 1861369 | 
| Reference: | [DvRa1] DVUREČENSKIJ A.-RACHŮNEK J.: Probabilistic averaging in bounded commutative residuated $\ell$-monoids.Discrete Math. 306 (2006), 1317-1326. Zbl 1105.06011, MR 2237716 | 
| Reference: | [DvRa2] DVUREČENSKIJ A.-RACHŮNEK J.: Probabilistic averaging in bounded $R\ell$-monoids.Semigroup Forum 72 (2006), 190-206. Zbl 1105.06010, MR 2216089 | 
| Reference: | [Geo] GEORGESCU G.: Bosbach states on fuzzy structures.Soft Comput. 8 (2004), 217-230. Zbl 1081.06012 | 
| Reference: | [Gelo] GEORGESCU G.-IORGULESCU A.: Pseudo-MV algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 | 
| Reference: | [GeLe] GEORGESCU G.-LEUSTEAN L.: Some classes of pseudo-Bl algebras.J. Aust. Math. Soc. 73 (2002), 127-153. Zbl 1016.03069, MR 1916313 | 
| Reference: | [Goo] GOODEARL K. R.: Partially Ordered Abelian Groups with Interpolation.Math. Surveys Monogr. 20, Amer. Math. Soc, Providence, RI, 1986. Zbl 0589.06008, MR 0845783 | 
| Reference: | [KoCh] KOPKA F.-CHOVANEC F.: D-posets.Math. Slovaca 44 (1994), 21-34. Zbl 0789.03048, MR 1290269 | 
| Reference: | [Mun] MUNDICI D.: Averaging the truth-value in Lukasiewicz logic.Studia Logica 55 (1995), 113-127. Zbl 0836.03016, MR 1348840 | 
| Reference: | [Rac] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434 | 
| Reference: | [RaSl] RACHŮNEK J.-SLEZÁK V.: Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures.Math. Slovaca 56 (2006), 223-233. Zbl 1150.06015, MR 2229343 | 
| Reference: | [Rie] RIEČAN B.: On the probability on BL-algebras.Acta Math. Nitra 4 (2000), 3-13. | 
| . |